TY  - BOOK
AU  - Gelca,Razvan
TI  - Theta functions and knots
SN  - 9789814520577 (hard cover : alk. paper)
U1  - 515.984 23
PY  - 2014///
CY  - New Jersey :  
PB  - World Scientific, 
KW  - Theta Functions
KW  - Knot theory
N1  - Includes bibliographical references and index; 1. Prologue--
2. A quantum mechanical prototype--
3. Surfaces and curves--
4. The theta function associated to a Riemann surface--
5. From theta functions to knots--
6. Some results about 3 and 4 dimensional manifolds--
7. The discrete Fourier transform and topological quantum field theory--
8. Theta functions in the quantum group perspective--
9. An epilogue- Abelian Chern-Simons theory--
Bibliography--
Index
N2  - 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.
ER  -