Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Generalized Double Affine Hecke Algebra for Double Torus

Kazuhiro Hikami

Abstract

We propose a generalization of the double affine Hecke algebra of type-C C1 at specific parameters by introducing a ``Heegaard dual'' of the Hecke operators. Shown is a relationship with the skein algebra on double torus. We give automorphisms of the algebra associated with the Dehn twists on the double torus.

Generalized Double Affine Hecke Algebra for Double Torus

Abstract

We propose a generalization of the double affine Hecke algebra of type-C C1 at specific parameters by introducing a ``Heegaard dual'' of the Hecke operators. Shown is a relationship with the skein algebra on double torus. We give automorphisms of the algebra associated with the Dehn twists on the double torus.
Paper Structure (4 sections, 14 equations)

This paper contains 4 sections, 14 equations.

Table of Contents

  1. Introduction
  2. Preliminaries on DAHA of C C1-type and Skein Algebra
  3. DAHA of C C1-type
  4. Skein Algebra on Sigma0,4