THETA FUNCTIONS AND KNOTS
ISBN-13:
9789814520577
ISBN-10:
9814520578
Edition:
1
Author:
Răzvan Gelca
Publication date:
2014
Publisher:
World Scientific Pub Co Inc
Format:
Hardcover
468 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9789814520577
ISBN-10:
9814520578
Edition:
1
Author:
Răzvan Gelca
Publication date:
2014
Publisher:
World Scientific Pub Co Inc
Format:
Hardcover
468 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
Summary
THETA FUNCTIONS AND KNOTS (ISBN-13: 9789814520577 and ISBN-10: 9814520578), written by authors
Răzvan Gelca, was published by World Scientific Pub Co Inc in 2014.
With an overall rating of 4.5 stars, it's a notable title among other
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Description
This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan 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. Readers with an interest in theta functions or knot theory can learn how the two are related. Those interested in Chern-Simons theory will 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 self-contained with a unified presentation. It is suitable for an advanced graduate course, as well as for self-study.
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