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Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
July 11-15, 2004
AMS, IMS, SIAM
Snowbird, UT, USA

Organizers
Brian J. Parshall (Chair), University of Virginia Georgia Benkart, University of Wisconsin, Madison Jens C. Jantzen, Aarhus University, Denmark Zongzhu Lin, Kansas State University Daniel K. Nakano, University of Georgia

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Instanton counting
by
Hiraku Nakajima
Department of Mathematics, Kyoto University
Coauthors: Kota Yoshioka (Kobe Univ.)

Nekrasov's deformed partition functions of N=2 SUSY Yang-Mills theories are given by the integrations in the equivariant cohomology/Grothendieck groups of instanton moduli spaces over R4, which are quiver varieties associated with the Jordan quiver. They are analog of Donaldson invariants, and equal to Gromov-Witten invariants of certain noncompact Calabi-Yau 3-folds. We review recent results on them.

Date received: July 1, 2004

Copyright © 2004 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # camt-36.