Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds

Chen X. 2022. Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds. International Mathematics Research Notices. 2022(9), 7021–7055.

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Abstract
Our previous paper describes a geometric translation of the construction of open Gromov–Witten invariants by Solomon and Tukachinsky from a perspective of $A_{\infty }$-algebras of differential forms. We now use this geometric perspective to show that these invariants reduce to Welschinger’s open Gromov–Witten invariants in dimension 6, inline with their and Tian’s expectations. As an immediate corollary, we obtain a translation of Solomon–Tukachinsky’s open WDVV equations into relations for Welschinger’s invariants.
Publishing Year
Date Published
2022-05-01
Journal Title
International Mathematics Research Notices
Publisher
Oxford University Press
Volume
2022
Issue
9
Page
7021-7055
ISSN
eISSN
IST-REx-ID

Cite this

Chen X. Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds. International Mathematics Research Notices. 2022;2022(9):7021-7055. doi:10.1093/imrn/rnaa318
Chen, X. (2022). Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnaa318
Chen, Xujia. “Solomon-Tukachinsky’s versus Welschinger’s Open Gromov-Witten Invariants of Symplectic Six-Folds.” International Mathematics Research Notices. Oxford University Press, 2022. https://doi.org/10.1093/imrn/rnaa318.
X. Chen, “Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds,” International Mathematics Research Notices, vol. 2022, no. 9. Oxford University Press, pp. 7021–7055, 2022.
Chen X. 2022. Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds. International Mathematics Research Notices. 2022(9), 7021–7055.
Chen, Xujia. “Solomon-Tukachinsky’s versus Welschinger’s Open Gromov-Witten Invariants of Symplectic Six-Folds.” International Mathematics Research Notices, vol. 2022, no. 9, Oxford University Press, 2022, pp. 7021–55, doi:10.1093/imrn/rnaa318.
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arXiv 1912.05437

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