Journal article
BPS INVARIANTS OF SYMPLECTIC LOG CALABI-YAU FOURFOLDS
Transactions of the American Mathematical Society, Vol.377(5), pp.3449-3486
05/2024
DOI: 10.1090/tran/9114
Abstract
Using the Fredholm setup of Farajzadeh-Tehrani [Peking Math. J. (2023), https://doi.org/10.1007/s42543-023-00069-1], 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 Gross [Duke Math. J. 153 (2010), pp. 297-362, Cnj. 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 Gross [Prp. 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 - Univ Iowa, MacLean Hall, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.377(5), pp.3449-3486
- Publisher
- Amer Mathematical Soc
- DOI
- 10.1090/tran/9114
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Number of pages
- 38
- Grant note
- DMS-2003340 / NSF; National Science Foundation (NSF)
- Language
- English
- Electronic publication date
- 02/14/2024
- Date published
- 05/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984563454102771
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