Derived KZ Equations

Vadim Schechtman and Alexander Varchenko

Journal of Singularities
volume 25 (2022), 422-442

Received: 12 January 2021. Received in revised form: 5 November 2021.

DOI: 10.5427/jsing.2022.25u

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Abstract:

In this note we strengthen the results in our previous work by presenting their derived version. Namely, we define a "derived Knizhnik - Zamolodchikov connection" and identify it with a "derived Gauss - Manin connection".

Author(s) information:

Vadim Schechtman
Institut de Mathématiques de Toulouse
Université Paul Sabatier
118 route de Narbonne
31062 Toulouse, France

Alexander Varchenko
Department of Mathematics
University of North Carolina at Chapel Hill
Chapel Hill, NC 27599-3250, USA
and
Faculty of Mathematics and Mechanics
Lomonosov Moscow State University
Leninskiye Gory 1
119991 Moscow GSP-1, Russia
and
Moscow Center of Fundamental and Applied Mathematics
Leninskiye Gory 1
119991 Moscow GSP-1, Russia