Wall-crossing in genus-zero hybrid theory
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Emily Clader
and
Dustin Ross
Abstract
The hybrid model is the Landau–Ginzburg-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 [21] for quantum singularity theory and paralleling the work of Ciocan-Fontanine–Kim [7] 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 [11].
Funding statement: This work was completed with the support of a Development of Research and Creativity grant from San Francisco State University in Spring 2018, during which the first author was a Research Member at the Mathematical Sciences Research Institute.
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Communicated by: R. Cavalieri
Acknowledgements
The authors thank Felix Janda and Yongbin Ruan for many enlightening conversations.
References
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Articles in the same Issue
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- Wall-crossing in genus-zero hybrid theory
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- Uniqueness results for bodies of constant width in the hyperbolic plane
- A note on large Kakeya sets
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Articles in the same Issue
- Frontmatter
- On vector bundles over reducible curves with a node
- Inscribed rectangle coincidences
- 𝔽p2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
- Tetrahedral cages for unit discs
- When is M0,n(ℙ1,1) a Mori dream space?
- Rank-one isometries of CAT(0) cube complexes and their centralisers
- Wall-crossing in genus-zero hybrid theory
- The curve Yn = Xℓ(Xm + 1) over finite fields II
- Uniqueness results for bodies of constant width in the hyperbolic plane
- A note on large Kakeya sets
- On static manifolds and related critical spaces with cyclic parallel Ricci tensor
- The motivic Igusa zeta function of a space monomial curve with a plane semigroup
- Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator
