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Gromov-Witten invariants for abelian and nonabelian quotients
Author(s):
Aaron
Bertram;
Ionut
Ciocan-Fontanine;
Bumsig
Kim
Journal:
J. Algebraic Geom.
17
(2008),
275-294.
Posted:
October 1, 2007
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
Conjectural formulas are given expressing the genus zero Gromov-Witten invariants of the quotient of a complex projective manifold  by a reductive group  (the nonabelian quotient) in terms of the invariants of the quotient by a maximal torus  (the abelian quotient). The `` -function'' version of the formulas is proved when  is a (generalized) flag manifold.
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Additional Information:
Aaron
Bertram
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Email:
bertram@math.utah.edu
Ionut
Ciocan-Fontanine
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email:
ciocan@math.umn.edu
Bumsig
Kim
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722, Korea
Email:
bumsig@kias.re.kr
PII:
S 1056-3911(07)00456-0
Received by editor(s):
February 1, 2006
Received by editor(s) in revised form:
April 6, 2006
Posted:
October 1, 2007
Additional Notes:
The first two authors were partially supported by NSF grants DMS-0200895 and DMS-0303614, respectively. The third author was supported by KOSEF R01-2004-000-10870-0.
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