On the rim tori refinement of relative Gromov-Witten invariants

Mohammad F. Tehrani; Aleksey Zinger

doi:10.1142/S0219199720500510

On the rim tori refinement of relative Gromov-Witten invariants

Mohammad F. Tehrani
, Aleksey Zinger

Mathematics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We construct Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants in terms of abelian covers of the symplectic divisor and discuss in what sense it gives rise to invariants. We use it to obtain some vanishing results for the standard relative Gromov-Witten invariants. In a separate paper, we describe to what extent this refinement sharpens the usual symplectic sum formula and give further qualitative applications.

Original language	English
Article number	2050051
Journal	Communications in Contemporary Mathematics
Volume	23
Issue number	5
DOIs	https://doi.org/10.1142/S0219199720500510
State	Published - Aug 2021

Keywords

Gromov-Witten invariants
rim tori refinement
symplectic sum formula

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10.1142/S0219199720500510

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title = "On the rim tori refinement of relative Gromov-Witten invariants",

abstract = "We construct Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants in terms of abelian covers of the symplectic divisor and discuss in what sense it gives rise to invariants. We use it to obtain some vanishing results for the standard relative Gromov-Witten invariants. In a separate paper, we describe to what extent this refinement sharpens the usual symplectic sum formula and give further qualitative applications.",

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AU - Zinger, Aleksey

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N2 - We construct Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants in terms of abelian covers of the symplectic divisor and discuss in what sense it gives rise to invariants. We use it to obtain some vanishing results for the standard relative Gromov-Witten invariants. In a separate paper, we describe to what extent this refinement sharpens the usual symplectic sum formula and give further qualitative applications.

AB - We construct Ionel-Parker's proposed refinement of the standard relative Gromov-Witten invariants in terms of abelian covers of the symplectic divisor and discuss in what sense it gives rise to invariants. We use it to obtain some vanishing results for the standard relative Gromov-Witten invariants. In a separate paper, we describe to what extent this refinement sharpens the usual symplectic sum formula and give further qualitative applications.

KW - Gromov-Witten invariants

KW - rim tori refinement

KW - symplectic sum formula

UR - https://www.scopus.com/pages/publications/85096217025

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DO - 10.1142/S0219199720500510

M3 - Article

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VL - 23

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

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On the rim tori refinement of relative Gromov-Witten invariants

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Keywords

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