Derived KZ equations
Vadim Schechtman, Alexander Varchenko
TL;DR
This paper introduces a derived version of the KZ equations, connecting it with the derived Gauss-Manin connection, thereby extending previous results in the field.
Contribution
It defines a derived KZ connection and establishes its equivalence with the derived Gauss-Manin connection, advancing the theoretical framework.
Findings
Derived KZ connection defined and analyzed
Equivalence with derived Gauss-Manin connection established
Strengthens previous results in the theory of KZ equations
Abstract
In this paper we strengthen the results of [SV] by presenting their derived version. Namely, we define a "derived Knizhnik - Zamolodchikov connection"\ and identify it with a "derived Gauss - Manin connection".
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Taxonomy
TopicsAdvanced Differential Geometry Research · Nonlinear Waves and Solitons · Geometric Analysis and Curvature Flows