Speaker: | Bumsig Kim (KIAS) |
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Title: | Orbifold Quasimap Theory |
Date (JST): | Mon, Oct 28, 2013, 14:00 - 17:00 |
Place: | Seminar Room A |
Abstract: |
We generalize the quasimap theory to the case when GIT target W//G becomes Deligne-Mumford stacks. The moduli stack of e-stable maps from twisted curves to the target with k-marked, genus g and a degree class is a DM-stack proper over the affine quotient. When W is LCI and W//G is a smooth DM-stacks, the moduli stack comes with a canonical perfect obstruction theory. We obtain the generalization of the wall-crossing formula of J-functions as e varies. As an application, we prove the conjecture, "mirror theorem" of Iritani et. al. This is joint work with D. Cheong and I. Ciocan-Fontanine |
Remarks: | 14:00-15:00 (Part I) 15:30-17:00 (Part II) |