Orbifold quasimap theory
By Daewoong Cheong, Ionut Ciocan-Fontanine, Bumsig Kim. 2014
79 citations recorded by the source corpus.
We extend to orbifolds the quasimap theory of Ciocan-Fontanine and Kim (Adv Math 225(6):3022–3051, 2010; J Geom Phys 75:17–47, 2014) as well as the genus zero wall-crossing results from (Algebr Geom 1(4):400–448, 2014; Proceedings of the Conference on the Occasion of Mukai’s 60th Birthday, 2015). As a consequence, we obtain generalizations of orbifold mirror theorems, in particular, of the mirror theorem for toric orbifolds recently proved independently by Coates et al. (A mirror theorem for toric stacks).
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/988aca929ffe8f28640f2cb765f58ad987963341
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In Geometry and Topology
- H. Iritani
- Tom Coates
- Yunfeng Jiang
- Alessio Corti
- A. Oneto
- Alexander M. Kasprzyk
- Christopher Woodward
- Bumsig Kim
In Mathematical Physics
- H. Iritani
- Tom Coates
- Yunfeng Jiang
- Alexander M. Kasprzyk
- Alessio Corti
- Christopher Woodward
- M. Kawakita
- Bumsig Kim
Citations in the corpus
- The Crepant Transformation Conjecture for Toric Complete Intersections (2014, methodology): “We use the Mirror Theorem for toric Deligne– Mumford stacks [26, 30] to construct a global equivariant quantum connection over (a certain part of) the secondary toric variety for X±; this gives an analytic continuation of the equivariant quantum connections for X+ and X−.”
- Mirror symmetry and the classification of orbifold del Pezzo surfaces (2015, methodology): “One can see this already in the case of X = P(1, 1, 6), where the quantum period can be computed using the Mirror Theorem for toric Deligne– Mumford stacks [10, 12], and the corresponding maximally-mutable Laurent polynomial is f = x+y+xy+a1y +a2y +a3y −3 where a1, a2, and a3 are parameters.”