Date | Sep 05, 2014 |
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Speaker | Martijn Kool |

Dept. | University of British Columbia |

Room | 129-307 |

Time | 11:00-13:00 |

Gromov-Witten invariants of an algebraic surface S with a smooth connected canonical curve C are zero unless the curve class is a multiple of $[C]$ . It is known by work of Lee-Parker that these invariants only depend on the sign (-1)^{x(OS)} and the restriction map from cohomology on S to cohomology on C.

We compute the stable pair invariants of the canonical bundle X of S for any curve class and any descendent insertions. By the GW/stable pairs correspondence this includes the GW invariants of S. Our calculation uses the cosection localisation method of Kiem-Li and extends the cosection of Chang-Kiem. This is joint work with R. P. Thomas.

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