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Flat surfaces and stability structures
Haiden, Fabian...
Flat surfaces and stability structures by Haiden, Fabian ( Author )
N.A
30-09-2014
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 are defined in an elementary way. We also introduce a number of tools to deal with surfaces of infinite area, where structures similar to those in cluster algebra appear.
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Article
pdf
36.88 KB
English
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MYR 0.01
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doi:10.1007/s10240-017-0095-y
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