On the rim tori refinement of relative Gromov-Witten invariants

Mohammad F Tehrani; Aleksey Zinger

doi:10.1142/S0219199720500510

Back

On the rim tori refinement of relative Gromov-Witten invariants

Journal article

Peer reviewed

On the rim tori refinement of relative Gromov-Witten invariants

Mohammad F Tehrani and Aleksey Zinger

Communications in contemporary mathematics, Vol.23(5), p.2050051

08/01/2021

DOI: 10.1142/S0219199720500510

Files and links (1)

url

https://arxiv.org/pdf/1412.8204View

Open Access

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.

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Details

Title: Subtitle: On the rim tori refinement of relative Gromov-Witten invariants
Creators: Mohammad F Tehrani - Stony Brook University
Aleksey Zinger - Stony Brook University
Resource Type: Journal article
Publication Details: Communications in contemporary mathematics, Vol.23(5), p.2050051
DOI: 10.1142/S0219199720500510
ISSN: 0219-1997
eISSN: 1793-6683
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
Number of pages: 50
Grant note: 0846978 / NSF; National Science Foundation (NSF)
Language: English
Date published: 08/01/2021
Academic Unit: Mathematics
Record Identifier: 9984241043002771

Metrics

10 Record Views

2 Times Cited - Web of Science