Torus equivariant elliptic cohomology and sigma orientations
by Chen, Hsian-Yang, Ph.D., UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN, 2010, 109 pages; 3452152

Abstract:

Let [special characters omitted] be a complex elliptic curve. In this paper, we give a detailed construction of torus equivariant elliptic cohomology, which is a sheaf of [special characters omitted]-algebras over [special characters omitted]. As applications, we construct global sections for sigma functions and relates these sections to the elliptic orbifold genera.

 
AdvisersCharles Rezk; Matthew Ando
SchoolUNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
SourceDAI/B 72-06, p. , May 2011
Source TypeDissertation
SubjectsMathematics; Theoretical mathematics
Publication Number3452152
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