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A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps

Authors
Choi, JinwonKiem, Young-Hoon
Issue Date
Feb-2020
Publisher
SPRINGER HEIDELBERG
Citation
MATHEMATISCHE ZEITSCHRIFT, v.294, no.1-2, pp.161 - 199
Journal Title
MATHEMATISCHE ZEITSCHRIFT
Volume
294
Number
1-2
Start Page
161
End Page
199
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/1665
DOI
10.1007/s00209-019-02249-1
ISSN
0025-5874
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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