Theta Functions and Knots - Rilegato

Gelca, Razvan

 
9789814520577: Theta Functions and Knots
Rilegato
ISBN 10: 9814520578 ISBN 13: 9789814520577
Casa editrice: World Scientific Pub Co Inc, 2014

Sinossi

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Razvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.Theta Functions and Knots can be read in two perspectives. People with an interest in theta functions or knot theory can learn how the two are related. Those interested in Chern–Simons theory find here an introduction using the simplest case, that of abelian Chern–Simons theory. Moreover, the construction of abelian Chern–Simons theory is based entirely on quantum mechanics, and not on quantum field theory as it is usually done.Both the theory of theta functions and low dimensional topology are presented in detail, in order to underline how deep the connection between these two fundamental mathematical subjects is. Hence the book is a self-contained, unified presentation. It is suitable for an advanced graduate course, as well as for self-study.

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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
9814520578
ISBN 13 
9789814520577
Rilegatura
Copertina rigida
Numero di pagine
468
Contatto del produttore
non disponibile
Persona responsabile
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Germania