Welcome Back !To keep connected with uslogin with your personal info
Home Academics Mathematics & logic Theta Functions and Knots
Enjoying reading this book?
Theta Functions and Knots
by Gelca Razvan
4
4 out of 5
Creators
AuthorGelca Razvan
Publisher World Scientific Publishing Company
SynopsisThis 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. Those interested in Chern Simons theory 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 a self-contained, unified presentation. It is suitable for an advanced graduate course, as well as for self-study.
Thz Identification for Defense and Security Purposes: Identifying Materials, Substances and Items
by Sokolnikov and Andre U
Neurons: A Mathematical Ignition: 9 (Series on Number Theory and Its Applications)
by Hata Masayoshi
Introduction to Random Time and Quantum Randomness (New Edition): 1 (Monograph Of The Portuguese Mathematical Society)
Chung Kai Lai Et Al
Advanced Mathematical and Computational Tools in Metrology and Testing X: 86 (Series on Advances in Mathematics for Applied Sciences)
Pavese and Franco
Change of Time and Change of Measure: 21 (Advanced Series on Statistical Science & Applied Probability)
Barndorff - Nielsen and O E
