1 citations · 1 across the 4 of their papers we have counts for
5 papers
Orthosymplectic modules of cohomological Hall algebras
Samuel DeHority, Alexei Latyntsev
We study modules and comodules for cohomological Hall algebras equipped with their vertex coproducts arising as objects with classical type stabilizer groups. Specifically we consi…
Toroidal analogues of the Grothendieck-Springer map
Samuel DeHority
We study moduli spaces of objects in the derived category of noncommutative ruled surfaces over orbifold curves to find equivariant deformations of moduli spaces of framed sheaves…
Elliptic surfaces and toroidal superalgebras
Samuel DeHority
The equivariant cohomology of certain moduli spaces of sheaves on isotrivial elliptic surfaces are shown to admit representations of infinite dimensional Lie (super)algebras. The c…
Affinizations of Lorentzian Kac-Moody Algebras and Hilbert Schemes of Points on K3 Surfaces
Samuel DeHority
For a class of K3 surfaces, the action of a Lie algebra which is a certain affinization of a Kac-Moody algebra is given on the cohomology of the moduli spaces of rank 1 torsion fre…
Moonshine for All Finite Groups
Samuel DeHority, Xavier Gonzalez, Neekon Vafa +1
In recent literature, moonshine has been explored for some groups beyond the Monster, for example the sporadic O'Nan and Thompson groups. This collection of examples may suggest th…