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1. Prologue. 1.1. The history of theta functions. 1.2. The linking number. 1.3. Witten's Chern-Simons theory -- 2. A quantum mechanical prototype. 2.1. The quantization of a system of finitely many free onedimensional particles. 2.2. The quantization of finitely many free one-di…
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 topologi…
