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|UPC:||Does not apply||ISBN:||9789814520577|
|This book presents the relationship between classical theta functions and kts. It is based on a vel idea of Razvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a kt 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 Kts can be read in two perspectives. Readers with an interest in theta functions or kt 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 t 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.|
|Publisher||World Scientific Publishing Co Pte Ltd|
|Date of Publication||22/05/2014|
|Subject||Science & Mathematics: Textbooks & Study Guides|
|eBay Product ID (ePID)||209021243|
|Place of Publication||Singapore|
|Country of Publication||Singapore|
|Imprint||World Scientific Publishing Co Pte Ltd|
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