3 papers
math.DG2024
Dimension Reduction of Generalized ASD Instantons
Dylan Galt, Langte Ma
We study generalized anti-self-dual instantons defined over Riemannian manifolds equipped with a parallel codimension- differential form. In particular, for product Riemannian m…
math.NT2023
Cohomology at Infinity and the Well-Tempered Complex
Dylan Galt, Mark McConnell
We prove the existence of a sequence of commutative diagrams generalizing existing results on the cohomology of the Borel-Serre boundary and well-rounded retract to the context of…
math.NT2021
Computing Hecke operators for arithmetic subgroups of
Dylan Galt, Mark McConnell
We outline an algorithm for computing Hecke operators on equivariant cohomology for the symplectic group . To do…