Twisted orbifold Gromov–Witten invariants
Keyword(s):
AbstractLetχbe a smooth proper Deligne–Mumford stack over ℂ. One can define twisted orbifold Gromov–Witten invariants ofχby considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable mapsχg,n,d, cupping them with evaluation and cotangent line classes, and then integrating against the virtual fundamental class. These are more general than the twisted invariants introduced by Tseng. We express the generating series of the twisted invariants in terms of the generating series of the untwisted ones. We derive the corollaries which are used in a paper with Givental about the quantumK-theory of a complex compact manifoldX.
2014 ◽
Vol 213
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pp. 141-187
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2014 ◽
Vol 150
(9)
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pp. 1457-1481
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2004 ◽
pp. 153-200
2008 ◽
Vol 51
(4)
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pp. 519-534
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2002 ◽
Vol 131
(7)
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pp. 2027-2036