THETA FUNCTIONS AND KNOTS

THETA FUNCTIONS AND KNOTS

Theta Functions and Knots

GELCA RAZVAN / Răzvan Gelca

192,45 €
IVA incluido
Disponible
Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2014
ISBN:
9789814520577
192,45 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
Sobre IBD

 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.

Artículos relacionados

  • ZETA FUNCTIONS OF REDUCTIVE GROUPS AND THEIR ZEROS
    LIN WENG / WENG LIN
    This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology t...
    Disponible

    237,76 €

  • The Norm Residue Theorem in Motivic Cohomology
    Charles A. Weibel / Christian Haesemeyer
    This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited...
    Disponible

    114,75 €

  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
    Disponible

    239,66 €

  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
    Disponible

    108,21 €

  • TOPOLOGY - HAWAII (P/H)
    K H DOVERMANN
    The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990. These cover recent results in algebraic topology, algebraic transformation groups, real algebraic geometry, low-dimensional topology, and Nielsen Fixed Point Theory. ...
    Disponible

    90,37 €

  • Computational Aspects of Modular Forms and Galois Representations
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan’s tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, excep...
    Disponible

    129,39 €