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Abstract
We study the derived Hall algebra of the partially wrapped Fukaya category of a surface. We give an explicit description of the Hall algebra for the disk with m marked intervals and we give a conjectural description of the Hall algebras of all surfaces with enough marked intervals. Then we use a functoriality result to show that a graded version of the HOMFLYPT skein relation holds among certain arcs in the Hall algebras of general surfaces.
Original language  English 

Publisher  ArXiv 
Number of pages  63 
Publication status  Published  2 Aug 2017 
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Dive into the research topics of 'The Hall Algebras of Surfaces I'. Together they form a unique fingerprint.Projects
 1 Finished

QuantGeomLangTFT  The Quantum Geometric Langlands Topological Field Theory
1/06/15 → 31/05/21
Project: Research