发表机构
University of California, Los Angeles; School of Mathematical Sciences, Beijing Normal University; Laboratory of Mathematics and Complex Systems, Ministry of Education; School of Mathematical Sciences, Eastern Institute of Technology（加州大学洛杉矶分校; 北京师范大学数学科学学院；教育部数学与复杂系统重点实验室; 东方理工学院数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究将含orbighosts的节点orbicurves光滑化的障碍，并在一定假设下证明复全局商orbifold \([X/G]\)的orbifold Hecke代数同构于正则余切纤维\(T_{[x]}^*[X/G]\)自同态\(A_\infty\)-代数的\(0\)次上同调。
AI 中文摘要
在本文中，我们研究了将具有orbighosts的节点orbicurves光滑化的障碍，这些orbighosts映射到循环商奇点中。作为应用，在某些假设下，我们表明对于紧致复流形\(X\)和有限群\(G\subset\mathrm{Aut}(X)\)，复全局商orbifold \([X/G]\)的orbifold Hecke代数同构于正则余切纤维\(T_{[x]}^*[X/G]\)的自同态\(A_\infty\)-代数的\(0\)次上同调，该正则余切纤维被视为orbifold \(T^*[X/G]\)的体变形包裹Fukaya范畴中的一个对象。
英文摘要
In this paper, we study obstructions to smoothing nodal orbicurves with orbighosts mapped into cyclic quotient singularities. As an application, we show, under some assumptions, that the orbifold Hecke algebra of a complex global quotient orbifold $[X/G]$ is isomorphic to the degree $0$ cohomology of the $A_\infty$-algebra of endomorphisms of a regular cotangent fiber $T_{[x]}^*[X/G]$ regarded as an object of the bulk-deformed wrapped Fukaya category of the orbifold $T^*[X/G]$ for a compact complex manifold $X$ and finite group $G \subset \operatorname{Aut}(X)$.
Comments81 pages, 8 figures. Improved exposition and corrected some minor issues in several proofs. Comments are welcome!
