Power operations in elliptic cohomology and representations of loop groups

Author:
Matthew Ando

Journal:
Trans. Amer. Math. Soc. **352** (2000), 5619-5666

MSC (1991):
Primary 55N20, 55S25, 55N91, 22E67

DOI:
https://doi.org/10.1090/S0002-9947-00-02412-0

Published electronically:
July 13, 2000

MathSciNet review:
1637129

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Matthew Ando**

Affiliation:
Department of Mathematics, The University of Virginia, Charlottesville, Virginia 22903

Address at time of publication:
Department of Mathematics, The University of Illinois at Urbana-Champaign, 1409 W. Green St., Urbana, Illinois 61801

Email:
ando@math.jhu.edu

DOI:
https://doi.org/10.1090/S0002-9947-00-02412-0

Received by editor(s):
October 23, 1995

Received by editor(s) in revised form:
June 10, 1998

Published electronically:
July 13, 2000

Additional Notes:
Supported by the NSF

Article copyright:
© Copyright 2000
American Mathematical Society