Introduction to Combinatorial Torsions (Paperback, 2001 ed.)

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. The Reidemeister torsions are defined using simple linear algebra and standard notions of combinatorial topology: triangulations (or, more generally, CW-decompositions), coverings, cellular chain complexes, etc. The Reidemeister torsions were generalized to arbitrary dimensions by W. Franz (1935) and later studied by many authors. In 1962, J. Milnor observed 3 that the classical Alexander polynomial of a link in the 3-sphere 8 can be interpreted as a torsion of the link exterior. Milnor's arguments work for an arbitrary compact 3-manifold M whose boundary is non-void and consists of tori: The Alexander polynomial of M and the Milnor torsion of M essentially coincide."

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Lectures in Mathematics. ETH Zurich
Release date:	2001
First published:	2001
Authors:	Vladimir Turaev
Dimensions:	244 x 170 x 7mm (L x W x T)
Format:	Paperback
Pages:	124
Edition:	2001 ed.
ISBN-13:	978-3-7643-6403-8
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Promotions
LSN:	3-7643-6403-3
Barcode:	9783764364038

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