Symmetries of $\mathfrak{gl}_{N}$-foams

You Qi; Louis-Hadrien Robert; Joshua Sussan; Emmanuel Wagner

doi:10.4171/qt/215

JournalsqtOnline First

Symmetries of $gl_{N}$ -foams

You Qi
University of Virginia, Charlottesville, USA
Louis-Hadrien Robert
Université Clermont Auvergne, LMBP, Aubiére Cedex, France
Joshua Sussan
Medgar Evers College, CUNY, Brooklyn, USA; The Graduate Center, CUNY, New York, USA
Emmanuel Wagner
Université Paris Cité, Paris, France

$Symmetries of $\mathfrak{gl}_{N}$-foams cover$

Download PDF

A subscription is required to access this article.

Abstract

We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the $gl_{N}$ -foam evaluation formula. In particular, this endows states spaces associated with $gl_{N}$ -webs with an $sl_{2}$ -action. When working in positive characteristic, this can be used to define a $p$ -DG structure on these state spaces.

Cite this article

You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner, Symmetries of $gl_{N}$ -foams. Quantum Topol. (2024), published online first

DOI 10.4171/QT/215