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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
Published electronically: July 13, 2000
MathSciNet review: 1637129
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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.


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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: http://dx.doi.org/10.1090/S0002-9947-00-02412-0
PII: S 0002-9947(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