GROMOV-WITTEN/PANDHARIPANDE-THOMAS CORRESPONDENCE VIA CONIFOLD TRANSITIONS

被引：0
作者：
Lin, Yinbang [1 ]
Wang, Sz-sheng [2 ]
机构：
[1] Tongji Univ, Minist Educ, Sch Math Sci, Key Lab Intelligent Comp & Applicat, Shanghai 200092, Peoples R China
[2] Natl Yang Ming Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年
关键词：
Gromov-Witten; Pandharipande-Thomas; conifold transition; Calabi-Yau threefold; Fano threefold; CALABI-YAU; 3-FOLDS; WITTEN INVARIANTS; HALL ALGEBRAS; DEGENERATION; FORMULA; SCHEMES; SPACES;
D O I：
10.1090/tran/9387
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a projective conifold transition of smooth projective threefolds from X to Y, we show that if the Gromov-Witten/Pandharipande- Thomas descendent correspondence holds for the resolution Y, then it also holds for the smoothing X with stationary descendent insertions. As applications, we show the correspondence in new cases, especially for Fano threefolds.
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页数：24
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