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Introduction to Combinatorial Torsions de Vladimir Turaev

Introduction to Combinatorial Torsions: Lectures in Mathematics. ETH Zürich

Autor Vladimir Turaev
en Limba Engleză Paperback – 2001
Offers an introduction to combinatorial torsions of cellular spaces and manifolds with emphasis on torsions of 3-dimensional manifolds. This book describes the 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.
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Specificații

ISBN-13: 9783764364038
ISBN-10: 3764364033
Pagini: 132
Ilustrații: VIII, 124 p. 13 illus.
Dimensiuni: 170 x 244 x 12 mm
Greutate: 0.26 kg
Ediția:2001
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Lectures in Mathematics. ETH Zürich

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

I Algebraic Theory of Torsions.- 1 Torsion of chain complexes.- 2 Computation of the torsion.- 3 Generalizations and functoriality of the torsion.- 4 Homological computation of the torsion.- II Topological Theory of Torsions.- 5 Basics of algebraic topology.- 6 The Reidemeister—Franz torsion.- 7 The Whitehead torsion.- 8 Simple homotopy equivalences.- 9 Reidemeister torsions and homotopy equivalences.- 10 The torsion of lens spaces.- 11 Milnor’s torsion and Alexander’s function.- 12 Group rings of finitely generated abelian groups.- 13 The maximal abelian torsion.- 14 Torsions of manifolds.- 15 Links.- 16 The Fox Differential Calculus.- 17 Computing ?(M3) from the Alexander polynomial of links.- III Refined Torsions.- 18 The sign-refined torsion.- 19 The Conway link function.- 20 Euler structures.- 21 Torsion versus Seiberg—Witten invariants.- References.

Recenzii

"[The book] contains much of the needed background material in topology and algebra…Concering the considerable material it covers, [the book] is very well-written and readable."
--Zentralblatt Math