Legendrian skein algebras and Hall algebras

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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.

OriginalsprogEngelsk
TidsskriftMathematische Annalen volume
Vol/bind381
Sider (fra-til)631-684
DOI
StatusUdgivet - 2021
Udgivet eksterntJa

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