Configuration Spaces

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Configuration Spaces

Filippo Callegaro,Frederick Cohen,Corrado De Concini,Eva Maria Feichtner,Giovanni Gaiffi,Mario Salvetti
Configuration Spaces Book PDF

Author : Filippo Callegaro,Frederick Cohen,Corrado De Concini,Eva Maria Feichtner,Giovanni Gaiffi,Mario Salvetti
Publisher : Springer
Page : 379 pages
File Size : 49,5 Mb
Release : 2016-08-27
Category : Mathematics
ISBN : 9783319315805

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Configuration Spaces by Filippo Callegaro,Frederick Cohen,Corrado De Concini,Eva Maria Feichtner,Giovanni Gaiffi,Mario Salvetti Pdf

This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology.

Configuration Spaces

Anders Björner,Fred Cohen,Corrado De Concini,Claudo Procesi,Mario Salvetti
Configuration Spaces Book PDF

Author : Anders Björner,Fred Cohen,Corrado De Concini,Claudo Procesi,Mario Salvetti
Publisher : Springer
Page : 547 pages
File Size : 49,8 Mb
Release : 2013-12-18
Category : Mathematics
ISBN : 9788876424311

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Configuration Spaces by Anders Björner,Fred Cohen,Corrado De Concini,Claudo Procesi,Mario Salvetti Pdf

These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.

Geometry and Topology of Configuration Spaces

Edward R. Fadell,Sufian Y. Husseini
Geometry and Topology of Configuration Spaces Book PDF

Author : Edward R. Fadell,Sufian Y. Husseini
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642564468

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Geometry and Topology of Configuration Spaces by Edward R. Fadell,Sufian Y. Husseini Pdf

With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres, making the subject accessible to researchers and graduates with a minimal background in classical homotopy theory and algebraic topology.

Real Homotopy of Configuration Spaces

Najib Idrissi
Real Homotopy of Configuration Spaces Book PDF

Author : Najib Idrissi
Publisher : Springer Nature
Page : 201 pages
File Size : 40,5 Mb
Release : 2022-06-11
Category : Mathematics
ISBN : 9783031044281

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Real Homotopy of Configuration Spaces by Najib Idrissi Pdf

This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds. Configuration spaces consist of collections of pairwise distinct points in a given manifold, the study of which is a classical topic in algebraic topology. One of this theory’s most important questions concerns homotopy invariance: if a manifold can be continuously deformed into another one, then can the configuration spaces of the first manifold be continuously deformed into the configuration spaces of the second? This conjecture remains open for simply connected closed manifolds. Here, it is proved in characteristic zero (i.e. restricted to algebrotopological invariants with real coefficients), using ideas from the theory of operads. A generalization to manifolds with boundary is then considered. Based on the work of Campos, Ducoulombier, Lambrechts, Willwacher, and the author, the book covers a vast array of topics, including rational homotopy theory, compactifications, PA forms, propagators, Kontsevich integrals, and graph complexes, and will be of interest to a wide audience.

Ensembles on Configuration Space

Michael J. W. Hall,Marcel Reginatto
Ensembles on Configuration Space Book PDF

Author : Michael J. W. Hall,Marcel Reginatto
Publisher : Springer
Page : 280 pages
File Size : 54,9 Mb
Release : 2016-06-11
Category : Science
ISBN : 9783319341668

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Ensembles on Configuration Space by Michael J. W. Hall,Marcel Reginatto Pdf

This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.

The Configuration Space Method for Kinematic Design of Mechanisms

Elisha Sacks,Leo Joskowicz
The Configuration Space Method for Kinematic Design of Mechanisms Book PDF

Author : Elisha Sacks,Leo Joskowicz
Publisher : MIT Press
Page : 213 pages
File Size : 40,8 Mb
Release : 2010
Category : Computers
ISBN : 9780262013895

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The Configuration Space Method for Kinematic Design of Mechanisms by Elisha Sacks,Leo Joskowicz Pdf

A novel algorithmic approach to mechanism design based on a geometric representation of kinematic function called configuration space partitions. This book presents the configuration space method for computer-aided design of mechanisms with changing part contacts. Configuration space is a complete and compact geometric representation of part motions and part interactions that supports the core mechanism design tasks of analysis, synthesis, and tolerancing. It is the first general algorithmic treatment of the kinematics of higher pairs with changing contacts. It will help designers detect and correct design flaws and unexpected kinematic behaviors, as demonstrated in the book's four case studies taken from industry. After presenting the configuration space framework and algorithms for mechanism kinematics, the authors describe algorithms for kinematic analysis, tolerancing, and synthesis based on configuration spaces. The case studies follow, illustrating the application of the configuration space method to the analysis and design of automotive, micro-mechanical, and optical mechanisms. Appendixes offer a catalog of higher-pair mechanisms and a description of HIPAIR, an open source C++ mechanical design system that implements some of the configuration space methods described in the book, including configuration space visualization and kinematic simulation. HIPAIR comes with an interactive graphical user interface and many sample mechanism input files. The Configuration Space Method for Kinematic Design of Mechanisms will be a valuable resource for students, researchers, and engineers in mechanical engineering, computer science, and robotics.

Compactifications, Configurations, and Cohomology

Peter Crooks,Alexandru I. Suciu
Compactifications Configurations and Cohomology Book PDF

Author : Peter Crooks,Alexandru I. Suciu
Publisher : American Mathematical Society
Page : 168 pages
File Size : 46,8 Mb
Release : 2023-09-25
Category : Mathematics
ISBN : 9781470469924

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Compactifications, Configurations, and Cohomology by Peter Crooks,Alexandru I. Suciu Pdf

This volume contains the proceedings of the Conference on Compactifications, Configurations, and Cohomology, held from October 22–24, 2021, at Northeastern University, Boston, MA. Some of the most active and fruitful mathematical research occurs at the interface of algebraic geometry, representation theory, and topology. Noteworthy examples include the study of compactifications in three specific settings—algebraic group actions, configuration spaces, and hyperplane arrangements. These three types of compactifications enjoy common structural features, including relations to root systems, combinatorial descriptions of cohomology rings, the appearance of iterated blow-ups, the geometry of normal crossing divisors, and connections to mirror symmetry in physics. On the other hand, these compactifications are often studied independently of one another. The articles focus on new and existing connections between the aforementioned three types of compactifications, thereby setting the stage for further research. It draws on the discipline-specific expertise of all contributors, and at the same time gives a unified, self-contained reference for compactifications and related constructions in different contexts.

Braids

A. Jon Berrick
Braids Book PDF

Author : A. Jon Berrick
Publisher : World Scientific
Page : 414 pages
File Size : 53,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814291415

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Braids by A. Jon Berrick Pdf

Tutorial on the braid groups / Dale Rolfsen -- Simplicial objects and homotopy groups / Jie Wu -- Introduction to configuration spaces and their applications / Frederick R. Cohen -- Configuration spaces, braids, and robotics / Robert Ghrist -- Braids and magnetic fields / Mitchell A. Berger -- Braid group cryptography / David Garber

Principles of Robot Motion

Howie Choset,Kevin M. Lynch,Seth Hutchinson,George A. Kantor,Wolfram Burgard
Principles of Robot Motion Book PDF

Author : Howie Choset,Kevin M. Lynch,Seth Hutchinson,George A. Kantor,Wolfram Burgard
Publisher : MIT Press
Page : 642 pages
File Size : 40,5 Mb
Release : 2005-05-20
Category : Technology & Engineering
ISBN : 0262033275

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Principles of Robot Motion by Howie Choset,Kevin M. Lynch,Seth Hutchinson,George A. Kantor,Wolfram Burgard Pdf

A text that makes the mathematical underpinnings of robot motion accessible and relates low-level details of implementation to high-level algorithmic concepts. Robot motion planning has become a major focus of robotics. Research findings can be applied not only to robotics but to planning routes on circuit boards, directing digital actors in computer graphics, robot-assisted surgery and medicine, and in novel areas such as drug design and protein folding. This text reflects the great advances that have taken place in the last ten years, including sensor-based planning, probabalistic planning, localization and mapping, and motion planning for dynamic and nonholonomic systems. Its presentation makes the mathematical underpinnings of robot motion accessible to students of computer science and engineering, rleating low-level implementation details to high-level algorithmic concepts.

The Influence of Solomon Lefschetz in Geometry and Topology

Ernesto Lupercio, Francisco J. Turrubiates
The Influence of Solomon Lefschetz in Geometry and Topology Book PDF

Author : Ernesto Lupercio, Francisco J. Turrubiates
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 44,8 Mb
Release : 2014-08-05
Category : Mathematics
ISBN : 9780821894941

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The Influence of Solomon Lefschetz in Geometry and Topology by Ernesto Lupercio, Francisco J. Turrubiates Pdf

The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.

Motion Planning

Edgar A. Martínez García
Motion Planning Book PDF

Author : Edgar A. Martínez García
Publisher : BoD – Books on Demand
Page : 126 pages
File Size : 52,6 Mb
Release : 2022-01-26
Category : Science
ISBN : 9781839697739

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Motion Planning by Edgar A. Martínez García Pdf

Motion planning is a fundamental function in robotics and numerous intelligent machines. The global concept of planning involves multiple capabilities, such as path generation, dynamic planning, optimization, tracking, and control. This book has organized different planning topics into three general perspectives that are classified by the type of robotic applications. The chapters are a selection of recent developments in a) planning and tracking methods for unmanned aerial vehicles, b) heuristically based methods for navigation planning and routes optimization, and c) control techniques developed for path planning of autonomous wheeled platforms.

Intelligent Systems for Engineering

Ram D. Sriram
Intelligent Systems for Engineering Book PDF

Author : Ram D. Sriram
Publisher : Springer Science & Business Media
Page : 843 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447106319

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Intelligent Systems for Engineering by Ram D. Sriram Pdf

When men of knowledge impart this knowledge, I do not mean they will convince your reason. I mean they will awaken in you the faith that it is so. - Sri Krishna, Bhagavadgita BACKGROUND The use of computers has led to significant productivity increases in the en gineering industry. Most ofthe computer-aided engineering applications were . restricted to algorithmic computations, such as finite element programs and circuit analysis programs. However, a number ofproblems encountered in en gineering are not amenable to purely algorithmic solutions. These problems are often ill-structured; the term ill-structured problems is used here to de note problems that do not have a clearly defined algorithmic solution. An experienced engineer deals with these ill-structured problems using his/her judgment and experience. The knowledge-based systems (KBS) technology, which emerged out of research in artificial intelligence (AI), offers a method ologyto solve these ill-structuredengineering problems. The emergenceofthe KBS technology can be viewed as the knowledge revolution: other important events that led to increased productivity are the industrial revolution (17th century); the invention of the transistor and associated developments (first half of the 20th century); and the world-wide web (towards the end of the 20th century). Kurzweil, in a lecture at M. LT on December 3, 1987, linked the progress of automation to two industrial revolutions: the first industrial PREFACE xxxii revolution leveraged our physical capabilities, whereas the second industrial revolution - the knowledge revolution - is expected leverage oUr mental ca pabilities.

Cohomological Methods in Homotopy Theory

Jaume Aguade,Carles Broto,Carles Casacuberta
Cohomological Methods in Homotopy Theory Book PDF

Author : Jaume Aguade,Carles Broto,Carles Casacuberta
Publisher : Birkhäuser
Page : 413 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883122

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Cohomological Methods in Homotopy Theory by Jaume Aguade,Carles Broto,Carles Casacuberta Pdf

This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemtica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category. The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods.

Foundations of Software Technology and Theoretical Computer Science

S. Ramesh
Foundations of Software Technology and Theoretical Computer Science Book PDF

Author : S. Ramesh
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 45,6 Mb
Release : 1997-11-28
Category : Computers
ISBN : 3540638768

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Foundations of Software Technology and Theoretical Computer Science by S. Ramesh Pdf

This book constitutes the refereed proceedings of the 17th International Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS'97. The 18 revised full papers presented were selected from a total of 68 submissions. Also included are five invited papers by Ed Clarke, Deepak Kapur, Madhu Sudan, Vijaya Ramachandran, and Moshe Vardi. Among the topics addressed are concurrency, Petri nets, graph computations, program verification, model checking, recursion theory, rewriting, and error-correcting codes.

Hypergeometric Functions, My Love

Masaaki Yoshida
Hypergeometric Functions My Love Book PDF

Author : Masaaki Yoshida
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 53,5 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9783322901668

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Hypergeometric Functions, My Love by Masaaki Yoshida Pdf

The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions and the theta functions - now evolves, in this book, to the story of hypergeometric funktions in 4 variables, the configuration space of 6 points in the projective plane, K3 surfaces, theta functions in 4 variables. This modern theory has been established by the author and his collaborators in the 1990's; further development to different aspects is expected. It leads the reader to a fascinating 4-dimensional world. The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.