Fukaya category of surfaces and mapping class group action
| Autor: | Azam, Haniya, Blanchet, Christian |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We construct the Fukaya category of a surface with genus greater than one and compute its Grothendieck group. We consider here a topological variant, in which we disregard the area form and use instead an admissibility condition borrowed from Heegaard-Floer theory which ensures invariance under isotopy. We also study action of the mapping class group of the surface on its Fukaya category and establish faithfulness. Comment: 30 pages, 18 figures |
| Databáze: | arXiv |
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