On degree zero elliptic orbifold Gromov-Witten invariants

Details On degree zero elliptic orbifold Gromov-Witten invariants On degree zero elliptic orbifold Gromov-Witten invariants

2009-12-18

arxiv.org/abs/0912.3580v3

International Mathematics Research Notices Vol. 2011, no. 11, 2444--2468

Mathematics

Algebraic Geometry

v1: 17 pages; v2: revision, 18 pages; v3: minor changes, 19 pages

Scientific paper

We compute, by two methods, the genus one degree zero orbifold Gromov-Witten invariants with non-stacky insertions which are exceptional cases of the dilaton and divisor equations. One method involves a detailed analysis of the relevant moduli spaces. The other method, valid in the presence of torus actions with isolated fixed points, is virtual localization. These computations verify the conjectural evaluations of these invariants. Some genus one twisted orbifold Gromov-Witten invariants are also computed.

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