THETA FUNCTIONS AND KNOTS by Razvan Gelca ( 9789814520577 ) - Books & Audio Books at Pickabook.co.uk

Item Details

Title:

THETA FUNCTIONS AND KNOTS

By:

Razvan Gelca

Format:

Hardback

List price:

£150.00

Our price:

£135.00

Discount:

10% off

You save:

£15.00

ISBN 10:

9814520578

ISBN 13:

9789814520577

Availability:

Usually dispatched within 1-3 weeks.

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Stock:

Currently 0 available

Publisher:

WORLD SCIENTIFIC PUBLISHING CO PTE LTD

Pub. date:

22 May, 2014

Pages:

468

Description:

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of R?zvan 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.

Synopsis:

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. 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.

Publication:

Singapore

Imprint:

World Scientific Publishing Co Pte Ltd

Returns:

Returnable

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