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Title:Equivariant elliptic cohomology and twisted equivariant k-theory
Author(s):Menon, Dileep D.
Director of Research:Ando, Matthew
Doctoral Committee Chair(s):Rezk, Charles
Doctoral Committee Member(s):Nevins, Thomas; Berwick-Evans, Daniel
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Elliptic Cohomology, K-Theory, Loop Groups
Abstract: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.
Issue Date:2019-05-28
Type:Text
URI:http://hdl.handle.net/2142/105744
Rights Information:© 2019 by Dileep Menon
Date Available in IDEALS:2019-11-26
Date Deposited:2019-08


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