The orbifold DT/PT vertex correspondence

被引：0
|
作者：
Lin, Yijie [1 ]
机构：
[1] Fujian Normal Univ, Sch Math & Stat, Key Lab Analyt Math & Applicat, Minist Educ, Fuzhou 350117, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2025年 / 469卷
关键词：
DT/PT correspondence; Topological vertex; Calabi-Yau; Orbifold; Toric; DONALDSON-THOMAS THEORY; GROMOV-WITTEN THEORY; MARINO-VAFA; HODGE INTEGRALS; HILBERT SCHEMES; STABLE PAIRS; LOCALIZATION; INVARIANTS; CONJECTURE; FORMULA;
D O I：
10.1016/j.aim.2025.110222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an orbifold topological vertex formalism for PT invariants of toric Calabi-Yau 3-orbifolds with transverse An-1 singularities. We give a proof of the orbifold DT/PT Calabi-Yau topological vertex correspondence. As an application, we derive an explicit formula for the PT Zn-vertex in terms of loop Schur functions and prove the multi-regular orbifold DT/PT correspondence. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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