Elliptic Cohomology

• Main Author: Thomas, Charles B. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 1999.
• Series: The University Series in Mathematics
• Subjects: Mathematics.; Geometry.; Number theory.; Physics.; Number Theory.; Theoretical, Mathematical and Computational Physics.

Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim...

Table of Contents:

• Elliptic Genera
• Cohomology Theory Ell*(X)
• Work of M. Hopkins, N. Kuhn, and D. Ravenel
• Mathieu Groups
• Cohomology of Certain Simple Groups
• Ell*(BG) — Algebraic Approach
• Completion Theorems
• Elliptic Objects
• Variants of Elliptic Cohomology
• K3-Cohomology.