Introduction to Combinatorial Torsions

Name: Introduction to Combinatorial Torsions
Brand: Birkhauser Verlag AG
SKU: 9783764364038
Price: 1260 CZK
Availability: InStock

Notes taken by Felix Schlenk

Autor: Vladimir G. Turaev

Jazyk:

Vazba: Brožovaná

Vydavatel: Birkhauser Verlag AG

Dostupnost: Skladem u dodavatele

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This book is an extended version of the notes of my lecture course given at ETH in spring 1999. The...

Informace o knize

Autor

Vladimir G. Turaev

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2001

Stránek

124

EAN

9783764364038

ISBN

3764364033

Enbook ID

01716500

Vydavatel

Birkhauser Verlag AG

Hmotnost

318

Rozměry

170 x 244 x 8

Kompletní popis

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.

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Introduction to Combinatorial Torsions

Notes taken by Felix Schlenk

Informace o knize

Kompletní popis

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