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Title:Torus equivariant elliptic cohomology and sigma orientations
Author(s):Chen, Hsian-Yang
Director of Research:Ando, Matthew
Doctoral Committee Chair(s):Rezk, Charles
Doctoral Committee Member(s):Ando, Matthew; McCarthy, Randy; Guillou, Bertrand
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):elliptic cohomology
sigma orientation
Abstract:Let $ \mathcal{C} \colon= \mathds{C}/ \Lambda$ be a complex elliptic curve. In this paper, we give a detailed construction of torus equivariant elliptic cohomology, which is a sheaf of $ \mathcal{ O}_{\mathcal{C}^n}$-algebras over $ \mathcal{C}^n$. As applications, we construct global sections for sigma functions and relates these sections to the elliptic orbifold genera.
Issue Date:2010-08-20
URI:http://hdl.handle.net/2142/16822
Rights Information:Copyright 2010 Hsian-Yang Chen
Date Available in IDEALS:2010-08-20
Date Deposited:2010-08


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