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arXiv · 1611.05023

Quasimap Wall-crossings and Mirror Symmetry

Ionut Ciocan-Fontanine·Bumsig Kim
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Abstract

We state a wall-crossing formula for the virtual classes of epsilon-stable quasimaps to GIT quotients and prove it for complete intersections in projective space, with no positivity restrictions on their first Chern class. As a consequence, the wall-crossing formula relating the genus g descendant Gromov-Witten potential and the genus g epsilon-quasimap descendant potential is established. For the quintic threefold, our results may be interpreted as giving a rigorous and geometric interpretation of the holomorphic limit of the BCOV B-model partition function of the mirror family.

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BibTeXRIS

Ionut Ciocan-Fontanine, Bumsig Kim. 2016-11-15. Quasimap Wall-crossings and Mirror Symmetry. https://doi.org/10.1007/s10240-020-00114-0

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