Some speculations on pairs-of-pants decompositions and Fukaya categories

Some speculations on pairs-of-pants decompositions and Fukaya categories
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对裤子分解和深谷范畴的一些推测

DOI:
10.4310/sdg.2012.v17.n1.a9
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发表时间:
2010
期刊:
arXiv: Symplectic Geometry
影响因子:
--
通讯作者:
P. Seidel
P. Seidel
中科院分区:
--
文献类型:
--
作者:
P. Seidel

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这是2010年的一次演讲。它们涉及到福谷范畴可能被认为是“局部的”的可能方式,这意味着从松散的层理论意义上的更简单的部分粘在一起。正如标题所示,这纯粹是推测。大部分的动机来自热带几何和镜像对称。
These are notes from a 2010 talk. They concern possible ways in which Fukaya categories might be considered as "local", which means glued together from simpler pieces in a loosely sheaf-theoretic sense. As the title suggests, this is purely speculative. Much of the motivation comes from tropical geometry and mirror symmetry.