Generic Coarse Geometry Of Leaves

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Generic Coarse Geometry of Leaves

Author : Jesús A. Álvarez López,Alberto Candel
Publisher : Springer
Page : 173 pages
File Size : 45,6 Mb
Release : 2018-07-28
Category : Mathematics
ISBN : 9783319941325

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Generic Coarse Geometry of Leaves by Jesús A. Álvarez López,Alberto Candel Pdf

This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants. Every leaf of a compact foliated space has an induced coarse quasi-isometry type, represented by the coarse metric defined by the length of plaque chains given by any finite foliated atlas. When there are dense leaves either all dense leaves without holonomy are uniformly coarsely quasi-isometric to each other, or else every leaf is coarsely quasi-isometric to just meagerly many other leaves. Moreover, if all leaves are dense, the first alternative is characterized by a condition on the leaves called coarse quasi-symmetry. Similar results are proved for more specific coarse invariants, like growth type, asymptotic dimension, and amenability. The Higson corona of the leaves is also studied. All the results are richly illustrated with examples. The book is primarily aimed at researchers on foliated spaces. More generally, specialists in geometric analysis, topological dynamics, or metric geometry may also benefit from it.

Differential Geometric Structures and Applications

Author : Vladimir Rovenski
Publisher : Springer Nature
Page : 323 pages
File Size : 49,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031505867

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Differential Geometric Structures and Applications by Vladimir Rovenski Pdf

Coarse Geometry of Topological Groups

Author : Christian Rosendal
Publisher : Cambridge University Press
Page : 309 pages
File Size : 46,5 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781108842471

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Coarse Geometry of Topological Groups by Christian Rosendal Pdf

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.

Mathematical Reviews

Author : Anonim
Publisher : Unknown
Page : 994 pages
File Size : 54,8 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015082440887

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Mathematical Reviews by Anonim Pdf

Noncommutative Geometry

Author : Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 46,6 Mb
Release : 2003-12-08
Category : Mathematics
ISBN : 3540203575

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Noncommutative Geometry by Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts Pdf

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Foliations and the Geometry of 3-Manifolds

Author : Danny Calegari
Publisher : Oxford University Press on Demand
Page : 378 pages
File Size : 48,8 Mb
Release : 2007-05-17
Category : Mathematics
ISBN : 9780198570080

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Foliations and the Geometry of 3-Manifolds by Danny Calegari Pdf

This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

Algebraic Geometry and Commutative Algebra

Author : Hiroaki Hijikata,Heisuke Hironaka,Masaki Maruyama
Publisher : Academic Press
Page : 417 pages
File Size : 49,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483265186

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Algebraic Geometry and Commutative Algebra by Hiroaki Hijikata,Heisuke Hironaka,Masaki Maruyama Pdf

Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups. The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.

The Geometry of Moduli Spaces of Sheaves

Author : Daniel Huybrechts,Manfred Lehn
Publisher : Cambridge University Press
Page : 345 pages
File Size : 53,7 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 9781139485821

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The Geometry of Moduli Spaces of Sheaves by Daniel Huybrechts,Manfred Lehn Pdf

This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.

Lectures on Formal and Rigid Geometry

Author : Siegfried Bosch
Publisher : Springer
Page : 254 pages
File Size : 42,6 Mb
Release : 2014-08-22
Category : Mathematics
ISBN : 9783319044170

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Lectures on Formal and Rigid Geometry by Siegfried Bosch Pdf

The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".

A Concise Course in Algebraic Topology

Author : J. P. May
Publisher : University of Chicago Press
Page : 262 pages
File Size : 52,7 Mb
Release : 1999-09
Category : Mathematics
ISBN : 0226511839

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A Concise Course in Algebraic Topology by J. P. May Pdf

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Differential Geometry

Author : L. A. Cordero
Publisher : Pitman Advanced Publishing Program
Page : 368 pages
File Size : 42,9 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015015606844

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Differential Geometry by L. A. Cordero Pdf

Analysis and Modeling of Faces and Gestures

Author : S. Kevin Zhou,Wen-Yi Zhao,Xiaoou Tang,Shaogang Gong
Publisher : Springer
Page : 304 pages
File Size : 48,8 Mb
Release : 2007-11-04
Category : Computers
ISBN : 9783540756903

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Analysis and Modeling of Faces and Gestures by S. Kevin Zhou,Wen-Yi Zhao,Xiaoou Tang,Shaogang Gong Pdf

This book constitutes the refereed proceedings of the Third International Workshop on Analysis and Modelling of Faces and Gestures, AMFG 2007, held within the scope of ICCV 2007, the International Conference on Computer Vision. The papers review the status of recognition, analysis and modeling of face, gesture, activity, and behavior. Topics addressed include feature representation, 3D face, video-based face recognition, facial motion analysis, and sign recognition.

New Results in Numerical and Experimental Fluid Mechanics II

Author : Wolfgang Nitsche,Hans-Joachim Heinemann,Reinhard Hilbig
Publisher : Springer Science & Business Media
Page : 550 pages
File Size : 53,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783663109013

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New Results in Numerical and Experimental Fluid Mechanics II by Wolfgang Nitsche,Hans-Joachim Heinemann,Reinhard Hilbig Pdf

This volume contains the papers of the 11th Symposium of the AG STAB (German Aerospace Aerodynamics Association). In this association those scientists and engineers from universities, research-establishments and industry are involved, who are doing research and project work in numerical and experimental fluid mechanics and aerodynamics for aerospace and other applications. Many of the contributions are giving results from the "Luftfahrtforschungsprogramm der Bundesregierung (German Aeronautical Research Programme). Some of the papers report on work sponsored by the Deutsche Forschungsgemeinschaft, DFG, which also was presented at the symposium. The volume gives a broad overview over the ongoing work in this field in Germany.