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Mathematics > Algebraic Geometry

arXiv:1807.05503 (math)
[Submitted on 15 Jul 2018 (v1), last revised 10 Aug 2018 (this version, v3)]

Title:Equivariant holomorphic anomaly equation

Authors:Hyenho Lho
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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].
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
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1807.05503 [math.AG]
  (or arXiv:1807.05503v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.05503

Submission history

From: Hyenho Lho [view email]
[v1] Sun, 15 Jul 2018 07:33:20 UTC (30 KB)
[v2] Thu, 19 Jul 2018 18:55:57 UTC (30 KB)
[v3] Fri, 10 Aug 2018 07:19:24 UTC (38 KB)
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