تقرير
Open FJRW Theory and Mirror Symmetry
| العنوان: | Open FJRW Theory and Mirror Symmetry |
|---|---|
| المؤلفون: | Gross, Mark, Kelly, Tyler L., Tessler, Ran J. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematical Physics, Mathematics - Symplectic Geometry, 14J33, 14N35, 53D45, 53D37, 14H15 |
| الوصف: | We construct an open enumerative theory for the Landau-Ginzburg (LG) model $(\mathbb{C}^2, \mu_r\times \mu_s, x^r+y^s)$. The invariants are defined as integrals of multisections of a Witten bundle with descendents over a moduli space that is a real orbifold with corners. In turn, a generating function for these open invariants yields the mirror LG model and a versal deformation of it with flat coordinates. After establishing an open topological recursion result, we prove an LG/LG open mirror symmetry theorem in dimension two with all descendents. The open invariants we define are not unique but depend on boundary conditions that, when altered, exhibit wall-crossing phenomena for the invariants. We describe an LG wall-crossing group classifying the wall-crossing transformations that can occur. Comment: 140 pages, submitted version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2203.02435 |
| رقم الأكسشن: | edsarx.2203.02435 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |