Equivariant holomorphic anomaly equation
Algebraic Geometry
2018-08-13 v3
Abstract
In [16] the fundamental relationship between stable quotient invariants and the B-model for local P2 in all genera was studied under some specialization of equivariant variables. We generalize the argument of [16] to full equivariant settings without the specialization. Our main results are the proof of holomorphic anomaly equations for the equivariant Gromov-Witten theories of local P2 and local P3. We also state the generalization to full equivariant formal quintic theory of the result in [17].
Cite
@article{arxiv.1807.05503,
title = {Equivariant holomorphic anomaly equation},
author = {Hyenho Lho},
journal= {arXiv preprint arXiv:1807.05503},
year = {2018}
}
Comments
58 pages, new results for KP3 are included, the contents in arXiv:1807.05501 are included in Appendix, arXiv admin note: substantial text overlap with arXiv:1702.06096, arXiv:1803.01409, arXiv:1804.04399