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Topological structure of spaces of stability conditions and topological Fukaya type categories - MaRDI portal

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Topological structure of spaces of stability conditions and topological Fukaya type categories

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Publication:5855481

zbMATH Open1456.53072arXiv1806.00010MaRDI QIDQ5855481

Author name not available (Why is that?)

Publication date: 18 March 2021

Abstract: This is a survey on two closely related subjects. First, we review the study of topological structure of `finite type' components of spaces of Bridgeland's stability conditions on triangulated categories. The key is to understand Happel-Reiten-Smalo tilting as tiling of cells. Second, we review topological realizations of various Fukaya type categories, namely cluster/Calabi-Yau and derived categories from surfaces. The corresponding spaces of stability conditions are of `tame' nature and can be realized as moduli spaces of quadratic differentials due to Bridgeland-Smith and Haiden-Katzarkov-Kontsevich.


Full work available at URL: https://arxiv.org/abs/1806.00010



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