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Transactions of the American Mathematical Society
Journal Article

Power Operations in Elliptic Cohomology and Representations of Loop Groups

Matthew Ando
Transactions of the American Mathematical Society
Vol. 352, No. 12 (Dec., 2000), pp. 5619-5666
Published by: American Mathematical Society
https://www.jstor.org/stable/221905
Page Count: 48

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Topics: Coordinate systems, Homomorphisms, Mathematical rings, Mathematical theorems, Functors, Ring theory, Lie groups, Maps, Commutativity
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Power Operations in Elliptic Cohomology and Representations of Loop Groups
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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.
Transactions of the American Mathematical Society © 2000 American Mathematical Society