{"abstract":[{"lang":"eng","text":"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."}],"OA_type":"green","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Oxford University Press","author":[{"full_name":"Chen, Xujia","last_name":"Chen","first_name":"Xujia","id":"968ad14a-fd86-11ee-a420-ea29715511a3"}],"date_created":"2025-11-10T08:40:57Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1912.05437"}],"extern":"1","external_id":{"arxiv":["1912.05437"]},"language":[{"iso":"eng"}],"type":"journal_article","oa_version":"Preprint","article_processing_charge":"No","OA_place":"repository","date_updated":"2025-11-10T14:57:33Z","title":"Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds","scopus_import":"1","doi":"10.1093/imrn/rnaa318","month":"05","quality_controlled":"1","oa":1,"publication":"International Mathematics Research Notices","day":"01","publication_status":"published","volume":2022,"publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"issue":"9","citation":{"ista":"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.","ama":"Chen X. Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds. <i>International Mathematics Research Notices</i>. 2022;2022(9):7021-7055. doi:<a href=\"https://doi.org/10.1093/imrn/rnaa318\">10.1093/imrn/rnaa318</a>","mla":"Chen, Xujia. “Solomon-Tukachinsky’s versus Welschinger’s Open Gromov-Witten Invariants of Symplectic Six-Folds.” <i>International Mathematics Research Notices</i>, vol. 2022, no. 9, Oxford University Press, 2022, pp. 7021–55, doi:<a href=\"https://doi.org/10.1093/imrn/rnaa318\">10.1093/imrn/rnaa318</a>.","ieee":"X. Chen, “Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds,” <i>International Mathematics Research Notices</i>, vol. 2022, no. 9. Oxford University Press, pp. 7021–7055, 2022.","apa":"Chen, X. (2022). Solomon-Tukachinsky’s versus Welschinger’s open Gromov-Witten invariants of symplectic six-folds. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnaa318\">https://doi.org/10.1093/imrn/rnaa318</a>","short":"X. Chen, International Mathematics Research Notices 2022 (2022) 7021–7055.","chicago":"Chen, Xujia. “Solomon-Tukachinsky’s versus Welschinger’s Open Gromov-Witten Invariants of Symplectic Six-Folds.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2022. <a href=\"https://doi.org/10.1093/imrn/rnaa318\">https://doi.org/10.1093/imrn/rnaa318</a>."},"intvolume":"      2022","year":"2022","page":"7021-7055","status":"public","arxiv":1,"date_published":"2022-05-01T00:00:00Z","_id":"20617","article_type":"original"}