二元可逆多项式的同调镜像对称

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2020-03-02 DOI:10.4171/QT/163

Matthew Habermann

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引用次数: 8

摘要

本文给出了两个变量可逆多项式的同调镜像对称的证明，其中取$B$侧的对称群为极大。该证明涉及米尔诺纤维的显式胶合结构，并且作为一个应用，我们证明了某些堆叠节点曲线之间的推导等效，其中一些连接的分量具有非平凡的一般稳定器。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homological mirror symmetry for invertible polynomials in two variables

In this paper we give a proof of homological mirror symmetry for two variable invertible polynomials, where the symmetry group on the $B$-side is taken to be maximal. The proof involves an explicit gluing construction of the Milnor fibres, and as an application, we prove derived equivalences between certain stacky nodal curves, some of whose connected components have non-trivial generic stabiliser.

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来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.