Invariance of Gromov--Witten theory under a simple flop
Y. Iwao, Y.-P. Lee, H.-W. Lin, C.-L. Wang
TL;DR
This paper proves that Gromov--Witten invariants with ancestors remain unchanged under simple flop transformations across all genera, after an analytic continuation in the extended Kähler moduli space.
Contribution
It establishes the invariance of Gromov--Witten generating functions under simple flops for all genera, extending previous results to include ancestor invariants.
Findings
Gromov--Witten invariants are invariant under simple flops.
Invariance holds for all genera after analytic continuation.
Extends previous work to include ancestor invariants.
Abstract
We show that the generating functions of Gromov--Witten invariants with ancestors are invariant under a simple flop, for all genera, after an analytic continuation in the extended K\"ahler moduli space. This is a sequel to [LLW].
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