BPS invariants of symplectic log Calabi-Yau fourfolds

Mohammad Farajzadeh-Tehrani

doi:10.48550/arXiv.2206.13589

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BPS invariants of symplectic log Calabi-Yau fourfolds

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BPS invariants of symplectic log Calabi-Yau fourfolds

Mohammad Farajzadeh-Tehrani

ArXiv.org

06/27/2022

DOI: 10.48550/arXiv.2206.13589

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

Using the Fredholm setup of [12], we study genus zero (and higher) relative Gromov-Witten invariants with maximum tangency of symplectic log Calabi-Yau fourfolds. In particular, we give a short proof of [23, Conjecture 6.2] that expresses these invariants in terms of certain integral invariants by considering generic almost complex structures to obtain a geometric count. We also revisit the localization calculation of the multiple-cover contributions in [23, Proposition 6.1] and recalculate a few terms differently to provide more details and illustrate the computation of deformation/obstruction spaces for maps that have components in a destabilizing (or rubber) component of the target. Finally, we study a higher genus version of these invariants and explain a decomposition of genus one invariants into different contributions.

Details

Title: Subtitle: BPS invariants of symplectic log Calabi-Yau fourfolds
Creators: Mohammad Farajzadeh-Tehrani
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arXiv.2206.13589
ISSN: 2331-8422
Language: English
Date posted: 06/27/2022
Academic Unit: Mathematics
Record Identifier: 9984269260302771

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