Landau-Ginzburg/Calabi-Yau correspondence via wall-crossing. (English) Zbl 1376.14054
Summary: Landau-Ginzburg/Calabi-Yau correspondence claims the equivalence between the Gromov-Witten theory and the Fan-Jarvis-Ruan-Witten theory. The authors survey recently developed wall-crossing approach to the Landau-Ginzburg/Calabi-Yau correspondence for a quintic threefold.
MSC:
| 14N35 | Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) |
| 14J33 | Mirror symmetry (algebro-geometric aspects) |
Keywords:
Gromov-Witten invariant; Fan-Jarvis-Ruan-Witten invariant; moduli space; quasimap; wall-crossingReferences:
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