De Rham - Witt KZ equations
Vadim Schechtman, Alexander Varchenko
TL;DR
This paper introduces a de Rham-Witt framework for derived Knizhnik-Zamolodchikov equations and their hypergeometric forms, extending classical theorems to hyperplane arrangements.
Contribution
It develops a novel de Rham-Witt approach to KZ equations and generalizes classical results to hyperplane arrangements.
Findings
Formulation of de Rham-Witt derived KZ equations
Hypergeometric realizations in the de Rham-Witt context
Extension of classical theorems to hyperplane arrangements
Abstract
We propose a de Rham - Witt version of the derived Knizhnik-Zamolodchikov equations, and of their hypergeometric realizations. We also propose de Rham - Witt versions of some classical theorems related to arbitrary hyperplane arrangements.
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Taxonomy
TopicsPolynomial and algebraic computation · Nonlinear Waves and Solitons · Advanced Mathematical Identities