Equivariant Open Gromov-Witten Theory of RP^2mCP^2m [article]

Amitai Netser Zernik
2017 arXiv   pre-print
We define equivariant open Gromov-Witten invariants for RP^2mCP^2m as sums of integrals of equivariant forms over resolution spaces, which are blowups of products of moduli spaces of stable disc-maps modeled on trees. These invariants encode the quantum deformation of the equivariant cohomology of RP^2m by holomorphic discs in CP^2m and, for m=1, specialize to give Welschinger's signed count of real rational planar curves in the non-equivariant limit.
arXiv:1709.09483v1 fatcat:jptithpyvfhjpcoj7haz7jzieq