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- W2901630771 abstract "It is shown that there is a useful notion of a relative Bridgeland stability condition on the partially wrapped Fukaya category of a marked surface, with respect to some part of the surface’s boundary. This construction has nice functorial properties, obeying cutting and gluing, and reducing the calculation of stability conditions on the Fukaya category of any fully stopped surface into three types of base cases. Calculations of these cases shows that every Bridgeland stability condition on such categories can be described by flat surfaces. In other words, when the surface is fully stopped, the map constructed by Haiden–Katzarkov–Kontsevich from the moduli of flat surfaces to the stability space of the Fukaya category is a global homeomorphism." @default.
- W2901630771 created "2018-11-29" @default.
- W2901630771 creator A5080959601 @default.
- W2901630771 date "2022-03-16" @default.
- W2901630771 modified "2023-09-26" @default.
- W2901630771 title "Relative stability conditions on Fukaya categories of surfaces" @default.
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- W2901630771 doi "https://doi.org/10.1007/s00209-022-03007-6" @default.
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