We define a canonical map from a certain space of laminations on a punctured surface into the quantized algebra of functions on a cluster variety. We show that this map satisfies a number of special properties conjectured by Fock and Goncharov. Our construction is based on the “quantum trace” map introduced by Bonahon and Wong.
|Number of pages||45|
|Journal||Advances in Mathematics|
|State||Published - 14 Jan 2017|
- Canonical basis
- Cluster variety
- Skein algebra