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A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps
- Authors
- Choi, Jinwon; Kiem, Young-Hoon
- Issue Date
- Feb-2020
- Publisher
- SPRINGER HEIDELBERG
- Citation
- MATHEMATISCHE ZEITSCHRIFT, v.294, no.1-2, pp 161 - 199
- Pages
- 39
- Journal Title
- MATHEMATISCHE ZEITSCHRIFT
- Volume
- 294
- Number
- 1-2
- Start Page
- 161
- End Page
- 199
- ISSN
- 0025-5874
1432-8232
- Abstract
- The Landau-Ginzburg/Calabi-Yau correspondence claims that the Gromov-Witten invariant of the quintic Calabi-Yau 3-fold should be related to the Fan-Jarvis-Ruan-Witten invariant of the associated Landau-Ginzburg model via wall crossings. In this paper, we consider the stack of quasi-maps with a cosection and introduce sequences of stability conditions which enable us to interpolate between the moduli stack for Gromov-Witten invariants and the moduli stack for Fan-Jarvis-Ruan-Witten invariants.
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