Differential And Symplectic Topology Of Knots And Curves

Differential And Symplectic Topology Of Knots And Curves Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Differential And Symplectic Topology Of Knots And Curves book. This book definitely worth reading, it is an incredibly well-written.

Differential and Symplectic Topology of Knots and Curves

Serge Tabachnikov
Differential and Symplectic Topology of Knots and Curves Book PDF

Author : Serge Tabachnikov
Publisher : American Mathematical Soc.
Page : 530 pages
File Size : 48,6 Mb
Release : 1999
Category : Mathematics
ISBN : 0821813544

Get Book

Differential and Symplectic Topology of Knots and Curves by Serge Tabachnikov Pdf

This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian knots and links in 3-dimensional contact manifolds. Featured is the work of international experts in knot theory ("quantum" knot invariants, knot invariants of finite type), in symplectic and contact topology, and in singularity theory. The interplay of diverse methods from these fields makes this volume unique in the study of Legendrian knots and knot-like objects such as wave fronts. A particularly enticing feature of the volume is its international significance. The volume successfully embodies a fine collaborative effort by worldwide experts from Belgium, France, Germany, Israel, Japan, Poland, Russia, Sweden, the UK, and the US.

Differential Topology, Infinite-Dimensional Lie Algebras, and Applications

Alexander Astashkevich,Serge Tabachnikov
Differential Topology Infinite Dimensional Lie Algebras and Applications Book PDF

Author : Alexander Astashkevich,Serge Tabachnikov
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 47,5 Mb
Release : 1999
Category : Mathematics
ISBN : 082182032X

Get Book

Differential Topology, Infinite-Dimensional Lie Algebras, and Applications by Alexander Astashkevich,Serge Tabachnikov Pdf

This volume presents contributions by leading experts in the field. The articles are dedicated to D.B. Fuchs on the occasion of his 60th birthday. Contributors to the book were directly influenced by Professor Fuchs, and include his students, friends, and professional colleagues. In addition to their research, they offer personal reminicences about Professor Fuchs, giving insight into the history of Russian mathematics.

Northern California Symplectic Geometry Seminar

Y. Eliashberg
Northern California Symplectic Geometry Seminar Book PDF

Author : Y. Eliashberg
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 52,5 Mb
Release : 1999
Category : Geometry
ISBN : 0821820753

Get Book

Northern California Symplectic Geometry Seminar by Y. Eliashberg Pdf

The 12 papers are from various meeting of the seminar, which has met regularly since 1989. They discuss the quantization of symplectic orbitfolds and group actions; Hamiltonian dynamical systems without period orbits; the stabilization of symplectic inequalities and applications; Engel deformations and contact structures; quantum products for mapping tori and the Atiya-Floer conjecture; the cohomology rings of Hamiltonian T-spaces; symmetric spaces, Kahler geometry, and Hamiltonian dynamics; the mirror formula for quintic threefolds; the virtual moduli cycle; Floer homology, Novikov rings, and complete intersections; surgery, quantum cohomology, and birational geometry; and group symplectic automorphisms. They are not indexed. Annotation copyrighted by Book News, Inc., Portland, OR.

Mathematical Constants II

Steven R. Finch
Mathematical Constants II Book PDF

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 783 pages
File Size : 53,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9781108470599

Get Book

Mathematical Constants II by Steven R. Finch Pdf

Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Introduction to Vassiliev Knot Invariants

S. Chmutov,Sergeĭ Vasilʹevich Duzhin,J. Mostovoy
Introduction to Vassiliev Knot Invariants Book PDF

Author : S. Chmutov,Sergeĭ Vasilʹevich Duzhin,J. Mostovoy
Publisher : Cambridge University Press
Page : 521 pages
File Size : 46,6 Mb
Release : 2012-05-24
Category : Mathematics
ISBN : 9781107020832

Get Book

Introduction to Vassiliev Knot Invariants by S. Chmutov,Sergeĭ Vasilʹevich Duzhin,J. Mostovoy Pdf

A detailed exposition of the theory with an emphasis on its combinatorial aspects.

Topics in Quantum Groups and Finite-Type Invariants

Boris L. Feigin,V. A. Vasilʹev
Topics in Quantum Groups and Finite Type Invariants Book PDF

Author : Boris L. Feigin,V. A. Vasilʹev
Publisher : American Mathematical Soc.
Page : 214 pages
File Size : 50,6 Mb
Release : 1998
Category : Mathematics
ISBN : 0821810847

Get Book

Topics in Quantum Groups and Finite-Type Invariants by Boris L. Feigin,V. A. Vasilʹev Pdf

Presents the first collection of articles consisting entirely of work by the faculty and students at the Higher Mathematics College at the Independent University of Moscow. The 11 contributions cover symmetry groups of regular polyhedra over finite fields, vector bundles on an elliptical curve and Skylanin algebras, Tutte decomposition for graphs and symmetric matrices, and invarians and homology of spaces of knots in arbitrary manifolds. The focus of the text is on quantum groups and low-dimensional topology. No index. Annotation copyrighted by Book News, Inc., Portland, OR.

Pseudoperiodic Topology

Vladimir Igorevich Arnolʹd,Maxim Kontsevich,Anton Zorich
Pseudoperiodic Topology Book PDF

Author : Vladimir Igorevich Arnolʹd,Maxim Kontsevich,Anton Zorich
Publisher : American Mathematical Soc.
Page : 196 pages
File Size : 40,8 Mb
Release : 1999
Category : Mathematics
ISBN : 082182094X

Get Book

Pseudoperiodic Topology by Vladimir Igorevich Arnolʹd,Maxim Kontsevich,Anton Zorich Pdf

This volume offers an account of the present state of the art in pseudoperiodic topology--a young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. Related topics include the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. The book contains many new results. Most of the articles contain brief surveys on the topics, making the volume accessible to a broad audience. From the Preface by V.I. Arnold: "The authors ... have done much to show how modern mathematics begets, from this sea of pathological counterexamples, remarkable general and universal laws, whose discovery would be unthinkable and whose formulation would be impossible in the naive set-theoretical setting."

Topology, Geometry, Integrable Systems, and Mathematical Physics

V. M. Buchstaber,B. A. Dubrovin, I. M. Krichever
Topology Geometry Integrable Systems and Mathematical Physics Book PDF

Author : V. M. Buchstaber,B. A. Dubrovin, I. M. Krichever
Publisher : American Mathematical Soc.
Page : 408 pages
File Size : 55,8 Mb
Release : 2014-11-18
Category : Mathematics
ISBN : 9781470418717

Get Book

Topology, Geometry, Integrable Systems, and Mathematical Physics by V. M. Buchstaber,B. A. Dubrovin, I. M. Krichever Pdf

Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

Geometry, Topology, and Mathematical Physics

V. M. Buchstaber,I. M. Krichever
Geometry Topology and Mathematical Physics Book PDF

Author : V. M. Buchstaber,I. M. Krichever
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 42,9 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 082189076X

Get Book

Geometry, Topology, and Mathematical Physics by V. M. Buchstaber,I. M. Krichever Pdf

This volume contains a selection of papers based on presentations given in 2006-2007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. Novikov's diverse interests are reflected in the topics presented in the book. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

Topology, Ergodic Theory, Real Algebraic Geometry

Vladimir G. Turaev,Anatoliĭ Moiseevich Vershik
Topology Ergodic Theory Real Algebraic Geometry Book PDF

Author : Vladimir G. Turaev,Anatoliĭ Moiseevich Vershik
Publisher : American Mathematical Soc.
Page : 300 pages
File Size : 44,9 Mb
Release : 2001
Category : Biography & Autobiography
ISBN : 0821827405

Get Book

Topology, Ergodic Theory, Real Algebraic Geometry by Vladimir G. Turaev,Anatoliĭ Moiseevich Vershik Pdf

This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.

The Arnoldfest

Vladimir Igorevich Arnolʹd
The Arnoldfest Book PDF

Author : Vladimir Igorevich Arnolʹd
Publisher : American Mathematical Soc.
Page : 575 pages
File Size : 51,5 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821809457

Get Book

The Arnoldfest by Vladimir Igorevich Arnolʹd Pdf

This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over--including several from "Arnold's school"--gave illuminating talks and lively poster sessions. The presentations focused on Arnold's main areas of interest: singularity theory, the theory of curves, symmetry groups, dynamical systems, mechanics, and related areas of mathematics. The book begins with notes of three lectures by V. Arnold given in the framework of the Institute's Distinguished Lecturer program. The topics of the lectures are: (1) From Hilbert's Superposition Problem to Dynamical Systems (2) Symplectization, Complexification, and Mathematical Trinities (3) Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry. Arnold's three articles include insightful comments on Russian and Western mathematics and science. Complementing the first is Jurgen Moser's "Recollections", concerning some of the history of KAM theory.

L. D. Faddeev's Seminar on Mathematical Physics

Michael Semenov-Tian-Shansky,Mikhail Semenov-Ti︠a︡n-Shanskiĭ
L D Faddeev s Seminar on Mathematical Physics Book PDF

Author : Michael Semenov-Tian-Shansky,Mikhail Semenov-Ti︠a︡n-Shanskiĭ
Publisher : American Mathematical Soc.
Page : 336 pages
File Size : 54,7 Mb
Release : 2000
Category : Mathematics
ISBN : 0821821334

Get Book

L. D. Faddeev's Seminar on Mathematical Physics by Michael Semenov-Tian-Shansky,Mikhail Semenov-Ti︠a︡n-Shanskiĭ Pdf

Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a long history of over 30 years of intensive work which shaped modern mathematical physics. This collection, honoring Professor Faddeev's 65th anniversary, has been prepared by his students and colleagues. Topics covered in the volume include classical and quantum integrable systems (both analytic and algebraic aspects), quantum groups and generalizations, quantum field theory, and deformation quantization. Included is a history of the seminar highlighting important developments, such as the invention of the quantum inverse scattering method and of quantum groups. The book will serve nicely as a comprehensive, up-to-date resource on the topic.

Advances in Topological Quantum Field Theory

John M. Bryden
Advances in Topological Quantum Field Theory Book PDF

Author : John M. Bryden
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 43,6 Mb
Release : 2007-09-27
Category : Mathematics
ISBN : 9781402027727

Get Book

Advances in Topological Quantum Field Theory by John M. Bryden Pdf

This volume is the conference proceedings of the NATO ARW during August 2001 at Kananaskis Village, Canada on 'New Techniques in Topological Quantum Field Theory'. This conference brought together specialists from a number of different fields all related to Topological Quantum Field Theory. The theme of this conference was to attempt to find new methods in quantum topology from the interaction with specialists in these other fields. The featured articles include papers by V. Vassiliev on combinatorial formulas for cohomology of spaces of Knots, the computation of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by Shumakovitch. Moreover, there are articles on more classical topics related to manifolds and braid groups by such well known authors as D. Rolfsen, H. Zieschang and F. Cohen.

Quantum Algebras and Poisson Geometry in Mathematical Physics

Mikhail Vladimirovich Karasev,Elena M. Novikova,Yurii Mikhailovich Vorobjev
Quantum Algebras and Poisson Geometry in Mathematical Physics Book PDF

Author : Mikhail Vladimirovich Karasev,Elena M. Novikova,Yurii Mikhailovich Vorobjev
Publisher : American Mathematical Soc.
Page : 296 pages
File Size : 46,9 Mb
Release : 2005
Category : Computers
ISBN : 0821840401

Get Book

Quantum Algebras and Poisson Geometry in Mathematical Physics by Mikhail Vladimirovich Karasev,Elena M. Novikova,Yurii Mikhailovich Vorobjev Pdf

Presents applications of Poisson geometry to some fundamental well-known problems in mathematical physics. This volume is suitable for graduate students and researchers interested in mathematical physics. It uses methods such as: unexpected algebras with non-Lie commutation relations, dynamical systems theory, and semiclassical asymptotics.

Lie Groups and Invariant Theory

Ėrnest Borisovich Vinberg
Lie Groups and Invariant Theory Book PDF

Author : Ėrnest Borisovich Vinberg
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 43,8 Mb
Release : 2005
Category : Computers
ISBN : 0821837338

Get Book

Lie Groups and Invariant Theory by Ėrnest Borisovich Vinberg Pdf

This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.