TY - JOUR
T1 - Gromov-witten invariants for abelian and nonabelian quotients
AU - Bertram, Aaron
AU - Ciocan-Fontanine, Ionuţ
AU - Kim, Bumsig
PY - 2008
Y1 - 2008
N2 - Conjectural formulas are given expressing the genus zero Gromov-Witten invariants of the quotient of a complex projective manifold X by a reductive group G (the nonabelian quotient) in terms of the invariants of the quotient by a maximal torus T (the abelian quotient). The "Jfunction" version of the formulas is proved when X is a (generalized) flag manifold.
AB - Conjectural formulas are given expressing the genus zero Gromov-Witten invariants of the quotient of a complex projective manifold X by a reductive group G (the nonabelian quotient) in terms of the invariants of the quotient by a maximal torus T (the abelian quotient). The "Jfunction" version of the formulas is proved when X is a (generalized) flag manifold.
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U2 - 10.1090/S1056-3911-07-00456-0
DO - 10.1090/S1056-3911-07-00456-0
M3 - Article
AN - SCOPUS:77952202398
SN - 1056-3911
VL - 17
SP - 275
EP - 294
JO - Journal of Algebraic Geometry
JF - Journal of Algebraic Geometry
IS - 2
ER -