Flat surfaces and stability structures

We identify spaces of half-translation surfaces, equivalently complex curves with quadratic differential, with spaces of stability structures on Fukaya-type categories of punctured surfaces. This is achieved by new methods involving the complete classification of objects in these categories, which a...

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Bibliographic Details
Main Authors: Haiden, F, Katzarkov, L, Kontsevich, M
Format: Journal article
Published: Springer 2017