تقرير
Categorical Enumerative Invariants, II: Givental formula
| العنوان: | Categorical Enumerative Invariants, II: Givental formula |
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| المؤلفون: | Caldararu, Andrei, Tu, Junwu |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Symplectic Geometry, Mathematics - Algebraic Geometry, 53D45, 14N35, 57K20 |
| الوصف: | To a pair $(A,s)$ consisting of a smooth, cyclic $A_\infty$-algebra $A$ and a splitting $s$ of the Hodge filtration on its Hochschild homology Costello (2005) associates an invariant which conjecturally generalizes the total descendant Gromov-Witten potential of a symplectic manifold. In this paper we give explicit, computable formulas for Costello's invariants, as Feynman sums over partially directed stable graphs. The formulas use in a crucial way the combinatorial string vertices defined earlier by Costello and the authors. Explicit computations elsewhere confirm in many cases the equality of categorical invariants with known Gromov-Witten, Fan-Jarvis-Ruan-Witten, and Bershadsky-Cecotti-Ooguri-Vafa invariants. Comment: 55 pages, many figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2009.06659 |
| رقم الأكسشن: | edsarx.2009.06659 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |