Theta Functions And Knots
DOWNLOAD
AUDIOBOOK
Download Theta Functions And Knots PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Theta Functions And Knots book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Theta Functions And Knots
DOWNLOAD
AUDIOBOOK
Author : Razvan Gelca
language : en
Publisher: World Scientific
Release Date : 2014-05-21
Theta Functions And Knots written by Razvan Gelca and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-21 with Mathematics categories.
This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan 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.
Theta Functions And Knots
DOWNLOAD
AUDIOBOOK
Author : R?zvan Gelca
language : en
Publisher: World Scientific
Release Date : 2014
Theta Functions And Knots written by R?zvan Gelca and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
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. Those interested in ChernOCoSimons theory find here an introduction using the simplest case, that of abelian ChernOCoSimons theory. Moreover, the construction of abelian ChernOCoSimons 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. Contents: Some Historical Facts; A Quantum Mechanical Prototype; Surfaces and Curves; The Theta Functions Associated to a Riemann Surface; From Theta Functions to Knots; Some Results About 3- and 4-Dimensional Manifolds; The Discrete Fourier Transform and Topological Quantum Field Theory; Theta Functions and Quantum Groups; An Epilogue OCo Abelian ChernOCoSimons Theory. Readership: Graduate students and young researchers with an interest in complex analysis, mathematical physics, algebra geometry and low dimensional topology.
Theta Functions
DOWNLOAD
AUDIOBOOK
Author : Jun-ichi Igusa
language : en
Publisher: Springer
Release Date : 1972-03-28
Theta Functions written by Jun-ichi Igusa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-03-28 with Mathematics categories.
The theory of theta functions has a long history; for this, we refer A. Krazer and W. Wirtinger the reader to an encyclopedia article by ("Sources" [9]). We shall restrict ourselves to postwar, i. e. , after 1945, periods. Around 1948/49, F. Conforto, c. L. Siegel, A. Well reconsidered the main existence theorems of theta functions and found natural proofs for them. These are contained in Conforto: Abelsche Funktionen und algebraische Geometrie, Springer (1956); Siegel: Analytic functions of several complex variables, Lect. Notes, I. A. S. (1948/49); Well: Theoremes fondamentaux de la theorie des fonctions theta, Sem. Bourbaki, No. 16 (1949). The complete account of Weil's method appeared in his book of 1958 [20]. The next important achievement was the theory of compacti fication of the quotient variety of Siegel's upper-half space by a modular group. There are many ways to compactify the quotient variety; we are talking about what might be called a standard compactification. Such a compactification was obtained first as a Hausdorff space by I. Satake in "On the compactification of the Siegel space", J. Ind. Math. Soc. 20, 259-281 (1956), and as a normal projective variety by W. L. Baily in 1958 [1]. In 1957/58, H. Cartan took up this theory in his seminar [3]; it was shown that the graded ring of modular forms relative to the given modular group is a normal integral domain which is finitely generated over C.
Conformal Blocks Generalized Theta Functions And The Verlinde Formula
DOWNLOAD
AUDIOBOOK
Author : Shrawan Kumar
language : en
Publisher: Cambridge University Press
Release Date : 2021-11-25
Conformal Blocks Generalized Theta Functions And The Verlinde Formula written by Shrawan Kumar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-25 with Mathematics categories.
This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.
A Brief Introduction To Theta Functions
DOWNLOAD
AUDIOBOOK
Author : Richard Bellman
language : en
Publisher: Courier Corporation
Release Date : 2013-11-05
A Brief Introduction To Theta Functions written by Richard Bellman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-05 with Mathematics categories.
Brief but intriguing monograph on the theory of elliptic functions, written by a prominent mathematician. Spotlights high points of the fundamental regions and illustrates powerful, versatile analytic methods. 1961 edition.
Theta Functions On Riemann Surfaces
DOWNLOAD
AUDIOBOOK
Author : J. D. Fay
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1973-11-05
Theta Functions On Riemann Surfaces written by J. D. Fay and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-11-05 with Mathematics categories.
These notes present new as well as classical results from the theory of theta functions on Riemann surfaces, a subject of renewed interest in recent years. Topics discussed here include: the relations between theta functions and Abelian differentials, theta functions on degenerate Riemann surfaces, Schottky relations for surfaces of special moduli, and theta functions on finite bordered Riemann surfaces.
Quantization Classical And Quantum Field Theory And Theta Functions
DOWNLOAD
AUDIOBOOK
Author : Andrej Tyurin
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Quantization Classical And Quantum Field Theory And Theta Functions written by Andrej Tyurin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Functions, Theta categories.
This book is written by a well-known expert in classical algebraic geometry. Tyurin's research was specifically in explicit computations to vector bundles on algebraic varieties. This is the only available monograph written from his unique viewpoint. Ordinary (abelian) theta functions describe properties of moduli spaces of one-dimensional vector bundles on algebraic curves. Non-abelian theta functions, which are the main topic of this book, play a similar role in the study of higher-dimensional vector bundles. The book presents various aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization and to classical and quantum conformal field theories. The book is an important source of information for specialists in algebraic geometry and its applications to mathematical aspects of quantum field theory.
Symmetry And Structural Properties Of Condensed Matter Proceedings Of The 2nd International School Of Theoretical Physics
DOWNLOAD
AUDIOBOOK
Author : Wojciech Florek
language : en
Publisher: World Scientific
Release Date : 1993-03-27
Symmetry And Structural Properties Of Condensed Matter Proceedings Of The 2nd International School Of Theoretical Physics written by Wojciech Florek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-27 with categories.
These proceedings review the recent developments in current research connected with an adequate description of condensed matter in statistics of quasiparticles, topological invariants and self-similar structures.
The Influence Of Solomon Lefschetz In Geometry And Topology
DOWNLOAD
AUDIOBOOK
Author : Ernesto Lupercio
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-08-05
The Influence Of Solomon Lefschetz In Geometry And Topology written by Ernesto Lupercio and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-05 with Mathematics categories.
The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.
Knots Low Dimensional Topology And Applications
DOWNLOAD
AUDIOBOOK
Author : Colin C. Adams
language : en
Publisher: Springer
Release Date : 2019-06-26
Knots Low Dimensional Topology And Applications written by Colin C. Adams and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-26 with Mathematics categories.
This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications – Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.
