Wall-crossing in genus-zero hybrid theory
Abstract
The hybrid model is the Landau-Ginszburg-type theory that is expected, via the Landau-Ginzburg/Calabi-Yau correspondence, to match the Gromov-Witten theory of a complete intersection in weighted projective space. We prove a wall-crossing formula exhibiting the dependence of the genus-zero hybrid model on its stability parameter, generalizing the work of the second author and Ruan for quantum singularity theory and paralleling the work of Ciocan-Fontanine--Kim for quasimaps. This completes the proof of the genus-zero Landau-Ginzburg/Calabi-Yau correspondence for complete intersections of hypersurfaces of the same degree, as well as the proof of the all-genus hybrid wall-crossing theorem, which is work of the first author, Janda, and Ruan.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2018
- DOI:
- 10.48550/arXiv.1806.08442
- arXiv:
- arXiv:1806.08442
- Bibcode:
- 2018arXiv180608442C
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematical Physics
- E-Print:
- 26 pages. Comments welcome