Equivariant elliptic cohomology and twisted equivariant k-theory

Equivariant elliptic cohomology and twisted equivariant K-theory are both related to the representations of loop groups. After making these relationships precise, we propose a map from twisted equivariant elliptic cohomology to twisted K-theory of the inertia stack using equivariant de Rham models. This proposal agrees with the Freed-Hopkins-Teleman q = 1 map from characters of representations of loop groups to distributions associated to twisted equivariant K-theory classes.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2019

Author dc:creator

• Menon, Dileep D.

Contributors dc:contributor

• Ando, Matthew
• Rezk, Charles
• Nevins, Thomas
• Berwick-Evans, Daniel

• Elliptic Cohomology, K-Theory, Loop Groups

Statement dc:rights

• © 2019 by Dileep Menon

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/105744

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/105744