Geodesic
Higher genus quasimap wall-crossing for semipositive targets
Journal of the European Mathematical Society, Tome 19 (2017) no. 7, pp. 2051-2102 Cet article a éte moissonné depuis la source EMS Press

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In previous work we have conjectured wall-crossing formulas for genus zero quasimap invariants of GIT quotients and proved them via localization in many cases. We extend these formulas to higher genus when the target is semipositive, and prove them for semipositive toric varieties, in particular for toric local Calabi–Yau targets. The proof also applies to local Calabi–Yau's associated to some nonabelian quotients.
DOI : 10.4171/jems/713
Classification : 14-XX
Keywords: Gromov–Witten invariants, quasimap invariants, mirror symmetry 
@article{JEMS_2017_19_7_a4,
     author = {Ionu\c{t} Ciocan-Fontanine and Bumsig Kim},
     title = {Higher genus quasimap wall-crossing for semipositive targets},
     journal = {Journal of the European Mathematical Society},
     pages = {2051--2102},
     year = {2017},
     volume = {19},
     number = {7},
     doi = {10.4171/jems/713},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/713/}
}
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Ionuţ Ciocan-Fontanine; Bumsig Kim. Higher genus quasimap wall-crossing for semipositive targets. Journal of the European Mathematical Society, Tome 19 (2017) no. 7, pp. 2051-2102. doi: 10.4171/jems/713

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