Symmetries of -foams
You Qi
University of Virginia, Charlottesville, USALouis-Hadrien Robert
Université Clermont Auvergne, LMBP, Aubiére Cedex, FranceJoshua Sussan
Medgar Evers College, CUNY, Brooklyn, USA; The Graduate Center, CUNY, New York, USAEmmanuel Wagner
Université Paris Cité, Paris, France
![Symmetries of $\mathfrak{gl}_{N}$-foams cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-qt.png&w=3840&q=90)
Abstract
We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the -foam evaluation formula. In particular, this endows states spaces associated with -webs with an -action. When working in positive characteristic, this can be used to define a -DG structure on these state spaces.
Cite this article
You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner, Symmetries of -foams. Quantum Topol. (2024), published online first
DOI 10.4171/QT/215