Advances in Soviet Mathematics PDF Download

Author:
Publisher:
ISBN: 9781470433901
Category : Mathematics
Languages : en
Pages :

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Author: V. M. Buchstaber
Publisher:
ISBN: 9781470433901
Category :
Languages : en
Pages : 201

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Book Description
This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a long-standing tradition of the seminar, which originated in 1965.

Author: V. M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 9780821806661
Category : Geometry
Languages : en
Pages : 204

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Author: Craig D. Hodgson
Publisher: American Mathematical Soc.
ISBN: 0821884808
Category : Mathematics
Languages : en
Pages : 395

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Book Description
This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein. The main topic of the book is low-dimensional geometry and topology. It includes both survey articles based on courses presented at the conferences and research articles devoted to important questions in low-dimensional geometry. Together, these contributions show how methods from different fields of mathematics contribute to the study of 3-manifolds and Gromov hyperbolic groups. It also contains a list of favorite problems by Hyam Rubinstein.

Author: Hernan Ocampo
Publisher: Springer Science & Business Media
ISBN: 9783540242833
Category : Science
Languages : en
Pages : 256

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This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Author: V. M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 9780821890769
Category : Mathematics
Languages : en
Pages : 304

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Book Description
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.

Author: V. M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 1470418711
Category : Mathematics
Languages : en
Pages : 393

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Book Description
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.

Author: Vladimir G. Turaev
Publisher: American Mathematical Soc.
ISBN: 9780821827406
Category : Biography & Autobiography
Languages : en
Pages : 300

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Book Description
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.

Author:
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 390

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Author: Mikhail Vladimirovich Karasev
Publisher: American Mathematical Soc.
ISBN: 9780821840405
Category : Computers
Languages : en
Pages : 296

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Book Description
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.