Twisted orbifold Gromov-Witten invariants

Details Twisted orbifold Gromov-Witten invariants Twisted orbifold Gromov-Witten invariants

2012-02-21

arxiv.org/abs/1202.4778v1

Mathematics

Algebraic Geometry

43 pages, 1 figure

Scientific paper

Let $\ix$ be a smooth Deligne-Mumford stack over the complex numbers. One can define twisted orbifold Gromov-Witten invariants of $\ix$ by considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable maps $\ix_{g,n,d}$, 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 the work of Givental-Tonita on the quantum K-theory of a complex manifold X.

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