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

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.

preprint2011arXivOpen access
Paul Seidel
math.SGmath.AG
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Paul Seidel

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