» » Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich)

eBook Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich) epub

by V. G. Turaev

eBook Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich) epub
  • ISBN: 0817664033
  • Author: V. G. Turaev
  • Genre: Science
  • Language: English
  • Publisher: Birkhauser (April 2001)
  • ePUB size: 1905 kb
  • FB2 size 1446 kb
  • Formats doc rtf mbr rtf


Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich).

Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich). Download (djvu, . 2 Mb) Donate Read.

This book is an extended version of the notes of my lecture course given at ETH in. .Introduction to Combinatorial Torsions Lectures in Mathematics.

This book is an extended version of the notes of my lecture course given at ETH in spring 1999. The course was intended as an introduction to combinatorial torsions and their relations to the famous Seiberg-Witten invariants. Torsions were introduced originally in the 3-dimensional setting by K. Rei­ demeister (1935) who used them to give a homeomorphism classification of 3-dimensional lens spaces.

Integer Points in Polyhedra (Zurich Lectures in Advanced Mathematics). Modules and Group Algebras (Lectures in Mathematics. Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. Introduction to combinatorial maps. Introduction to Combinatorial Analysis.

Introduction to Combinatorial Torsions. Part of the Lectures in Mathematics ETH Zürich book series (LM).

This book is an introduction to combinatorial torsions of cellular spaces and manifolds with special emphasis on torsions of 3-dimensional manifolds

This book is an introduction to combinatorial torsions of cellular spaces and manifolds with special emphasis on torsions of 3-dimensional manifolds. The first two chapters cover algebraic foundations of the theory of torsions and various topological constructions of torsions due to K. Reidemeister, . Whitehead, J. Milnor and the author.

We are the Laboratory of Combinatorial and Geometric Structures, opened in September 2019 at the Moscow Institute of Physics and .

We are the Laboratory of Combinatorial and Geometric Structures, opened in September 2019 at the Moscow Institute of Physics and Technology. The members of the lab work on different theoretical questions in the fields of Combinatorics, Discrete and Computational Geometry, and Theoretical Сomputer Science. Head of the laboratory: Prof. Vice-head: Dr. Andrey Kupavskii. Assistant head: Dr. Alexandr Polyanskii. Recent video lectures: Recent video lectures: Lab events: December 18 MIPT Cifra . 4.

Natural Sciences and Mathematics. Combinatorial Optimization deals with efficiently finding a provably strong solution among a finite set of options

Natural Sciences and Mathematics. D-CHAB: Chemistry and Applied Biosciences. Combinatorial Optimization deals with efficiently finding a provably strong solution among a finite set of options. This course discusses key combinatorial structures and techniques to design efficient algorithms for combinatorial optimization problems. The goal of this lecture is to get a thorough understanding of various modern combinatorial optimization techniques with an emphasis on polyhedral approaches. Students will learn a general toolbox to tackle a wide range of combinatorial optimization problems. The core topics of this lecture include

Letters 4 (1997) 679–695 V G Turaev, Introduction to combinatorial torsions, Lectures in Math. Series, Birkhäuser (2001) V G Turaev, Surgery formula for torsions and Seiberg-Witten invariants of 3–manifolds, preprint (2001) arXiv:math.

Letters 4 (1997) 679–695 V G Turaev, Introduction to combinatorial torsions, Lectures in Math. GT/0101108 V G Turaev, Torsions of 3-dimensional manifolds, Progress in Math. 208, Birkhäuser (2002) Geometry & Topology, Volume 7 (2003).

This book is an introduction to combinatorial torsions of cellular spaces and manifolds with special emphasis on torsions of 3-dimensional manifolds. The first two chapters cover algebraic foundations of the theory of torsions and various topological constructions of torsions due to K. Reidemeister, J.H.C. Whitehead, J. Milnor and the author. We also discuss connections between the torsions and the Alexander polynomials of links and 3-manifolds. The third (and last) chapter of the book deals with so-called refined torsions and the related additional structures on manifolds, specifically homological orientations and Euler structures. As an application, we give a construction of the multivariable Conway polynomial of links in homology 3-spheres. At the end of the book, we briefly describe the recent results of G. Meng, C.H. Taubes and the author on the connections between the refined torsions and the Seiberg-Witten invariant of 3-manifolds. The exposition is aimed at students, professional mathematicians and physicists interested in combinatorial aspects of topology and/or in low dimensional topology. The necessary background for the reader includes the elementary basics of topology and homological algebra.
eBooks Related to Introduction to Combinatorial Torsions (Lectures in Mathematics Eth Zurich)
Contacts | Privacy Policy | DMCA
All rights reserved.
lycee-pablo-picasso.fr © 2016-2020