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

Jinwon Choi; Young-Hoon Kiem

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

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arxiv 1103.0833 v7 pith:MB6F7C7N submitted 2011-03-04 math.AG hep-th

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

Jinwon Choi , Young-Hoon Kiem This is my paper

classification math.AG hep-th

keywords calabi-yaulandau-ginzburgstackcorrespondencefan-jarvis-ruan-wittengromov-witteninvariantinvariants

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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.

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

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