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The refined symplectic sum formula for Gromov-Witten invariants
Journal article   Open access   Peer reviewed

The refined symplectic sum formula for Gromov-Witten invariants

Mohammad F Tehrani and Aleksey Zinger
International journal of mathematics, Vol.31(4), p.2050032
04/01/2020
DOI: 10.1142/S0129167X20500329

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Abstract

We describe the extent to which Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants (GW-invariants) sharpens the usual symplectic sum formula. The key product operation on the target spaces for the refined invariants is specified in terms of abelian covers of symplectic divisors, making it suitable for studying from a topological perspective. We give several qualitative applications of this refinement, which include vanishing results for GW-invariants.
Mathematics Physical Sciences Science & Technology

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