THE HALL ALGEBRAS OF SURFACES I
2018 ◽
Vol 19
(3)
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pp. 971-1028
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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 HOMFLY-PT skein relation holds among certain arcs in the Hall algebras of general surfaces.
2018 ◽
Vol 2020
(15)
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pp. 4721-4775
Keyword(s):
Keyword(s):
2013 ◽
Vol 149
(6)
◽
pp. 914-958
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Keyword(s):
2020 ◽
Vol 2020
(760)
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pp. 59-132
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Keyword(s):
2019 ◽
Vol 150
(3)
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pp. 1581-1607