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OverviewThis 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. Full Product DetailsAuthor: Vladimir TuraevPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2001 ed. Dimensions: Width: 17.00cm , Height: 0.70cm , Length: 24.40cm Weight: 0.318kg ISBN: 9783764364038ISBN 10: 3764364033 Pages: 124 Publication Date: 01 January 2001 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviews&Yacute;The book contains much of the needed background material in topology and algebraConcering the considerable material it covers, &Yacute;the book is very well-written and readable. <p>--Zentralblatt Math Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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