Quasimap wall-crossings and mirror symmetry

Ionuţ Ciocan-Fontanine, Bumsig Kim

Research output: Contribution to journalArticle


We state a wall-crossing formula for the virtual classes of ε-stable quasimaps to GIT quotients and prove it for complete intersections in projective space, with no positivity restrictions on their first Chern class. As a consequence, the wall-crossing formula relating the genus g descendant Gromov-Witten potential and the genus gε-quasimap descendant potential is established. For the quintic threefold, our results may be interpreted as giving a rigorous and geometric interpretation of the holomorphic limit of the BCOV B-model partition function of the mirror family.

Original languageEnglish (US)
Pages (from-to)201-260
Number of pages60
JournalPublications Mathematiques de l'Institut des Hautes Etudes Scientifiques
Issue number1
StatePublished - Jun 1 2020

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