Abstrakt
We compare two associative algebras which encode the “quantum topology” of Legendrian curves in contact threefolds of product type S× R. The first is the skein algebra of graded Legendrian links and the second is the Hall algebra of the Fukaya category of S. We construct a natural homomorphism from the former to the latter, which we show is an isomorphism if S is a disk with marked points and injective if S is the annulus.
Originalsprog | Engelsk |
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Tidsskrift | Mathematische Annalen volume |
Vol/bind | 381 |
Sider (fra-til) | 631-684 |
DOI | |
Status | Udgivet - 2021 |
Udgivet eksternt | Ja |
Emneord
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