Corpus ID: 204512162

A construction of complex analytic elliptic cohomology from double free loop spaces

@article{Spong2019ACO,
  title={A construction of complex analytic elliptic cohomology from double free loop spaces},
  author={Matthew Spong},
  journal={arXiv: Algebraic Topology},
  year={2019}
}
  • Matthew Spong
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Topology
  • 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 cohomology of the double free loop space. The construction is defined on finite, torus-equivariant CW complexes and takes values in coherent holomorphic sheaves over the moduli stack of complex elliptic curves. Our methods involve an inverse limit construction over all finite dimensional subcomplexes of the double free loop… CONTINUE READING