Orbifold Quasimap Theory
Daewoong Cheong, Ionut Ciocan-Fontanine, Bumsig Kim
TL;DR
This paper extends quasimap theory to orbifolds, generalizing mirror theorems and wall-crossing results, thereby advancing the understanding of orbifold Gromov-Witten invariants and mirror symmetry.
Contribution
It introduces orbifold quasimap theory and generalizes existing wall-crossing and mirror theorems to orbifold settings, unifying and expanding previous results.
Findings
Orbifold quasimap theory developed and formalized.
Generalized orbifold mirror theorems proved.
Extended wall-crossing results for orbifolds.
Abstract
We extend to orbifolds the quasimap theory of arXiv:0908.4446 and arXiv:1106.3724, as well as the genus zero wall-crossing results from arXiv:1304.7056 and arXiv:1401.7417. As a consequence, we obtain generalizations of orbifold mirror theorems, in particular, of the mirror theorem for toric orbifolds recently proved independently by Coates, Corti, Iritani, and Tseng (arXiv:1310.4163).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology