تقرير
Universally counting curves in Calabi--Yau threefolds
| العنوان: | Universally counting curves in Calabi--Yau threefolds |
|---|---|
| المؤلفون: | Pardon, John |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Symplectic Geometry, 14N10, 14C35, 14N35, 19E99, 53D45, 14C05, 14C15, 14J30, 14J32 |
| الوصف: | We show that curve enumeration invariants of complex threefolds with nef anti-canonical bundle are determined by their values on local curves. This statement and its proof are inspired by the proof of the Gopakumar--Vafa integrality conjecture by Ionel and Parker. The conjecture of Maulik, Nekrasov, Okounkov, and Pandharipande relating Gromov--Witten and Donaldson--Pandharipande-Thomas invariants is known for local curves by work of Bryan, Okounkov, and Pandharipande, hence holds for all complex threefolds with nef anti-canonical bundle (in particular, all Calabi--Yau threefolds). Comment: 50 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.02948 |
| رقم الأكسشن: | edsarx.2308.02948 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |