3 papers
math.AT2024
Equivariant elliptic cohomology and the 2-loop groupoid
Matthew Spong
Following an outline of Rezk, we give a construction of complex-analytic -equivariant elliptic cohomology for an arbitrary compact Lie group and we prove some of its fundame…
math.AT2019
A construction of complex analytic elliptic cohomology from double free loop spaces
Matthew Spong
We construct a complex analytic version of an equivariant cohomology theory which appeared in a recent paper of Rezk, and which is roughly modeled on the Borel-equivariant cohomolo…
math.AT2019
Comparison theorems for torus-equivariant elliptic cohomology theories
Matthew Spong
In 1994, Grojnowski gave a construction of an equivariant elliptic cohomology theory associated to an elliptic curve over the complex numbers. Grojnowski's construction has seen nu…