Power operations in elliptic cohomology and representations of loop groups

Ando, Matthew

doi:10.1090/S0002-9947-00-02412-0

Power operations in elliptic cohomology and representations of loop groups
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Trans. Amer. Math. Soc. 352 (2000), 5619-5666 Request permission

Abstract:

Part I of this paper describes power operations in elliptic cohomology in terms of isogenies of the underlying elliptic curve. Part II discusses a relationship between equivariant elliptic cohomology and representations of loop groups. Part III investigates the representation of theoretic considerations which give rise to the power operations discussed in Part I.

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