QUANTUM KIRWAN MORPHISM AND GROMOV-WITTEN INVARIANTS OF QUOTIENTS I
By Christopher Woodward. 2012
46 citations recorded by the source corpus.
This is the first in a sequence of papers in which we construct a quantum version of the Kirwan map from the equivariant quantum cohomology QHG(X) of a smooth polarized complex projective variety X with the action of a connected complex reductive group G to the orbifold quantum cohomology QH(X//G) of its geometric invariant theory quotient X//G, and prove that it intertwines the genus zero gauged Gromov–Witten potential of X with the genus zero Gromov–Witten graph potential of X//G. In this part we introduce the moduli spaces used in the construction of the quantum Kirwan morphism.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d8bb57ad65e9f1193e82f396d8b52835b40c3dc9
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In Geometry and Topology
- Bumsig Kim
- Ionut Ciocan-Fontanine
- Daewoong Cheong
- Dhruv Ranganathan
- Tom Coates
- H. Iritani
- Christopher Woodward
- Davesh Maulik
In Mathematical Physics
- Bumsig Kim
- Ionut Ciocan-Fontanine
- Daewoong Cheong
- Dhruv Ranganathan
- H. Iritani
- Christopher Woodward
- Tom Coates
- D. Abramovich
Citations in the corpus
- Orbifold quasimap theory (2014, methodology): “ he considers are quite different from the ones we employ, so he obtains different compactified graph spaces. There are also differences in the kind of targets allowed by the two theories: the results in [32, 33] based onthe Gonzales-Woodwardtheory allowWtobeeither asmoothprojective variety oravector sp”