Journal article
THE HALL ALGEBRAS OF SURFACES I
Journal of the Institute of Mathematics of Jussieu, Vol.19(3), pp.971-1028
05/01/2020
DOI: 10.1017/S1474748018000324
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 HOMFLY-PT skein relation holds among certain arcs in the Hall algebras of general surfaces.
Details
- Title: Subtitle
- THE HALL ALGEBRAS OF SURFACES I
- Creators
- Benjamin Cooper - Univ Iowa, Dept Math, 14 MacLean Hall, Iowa City, IA 52242 USAPeter Samuelson - University of California, Riverside
- Resource Type
- Journal article
- Publication Details
- Journal of the Institute of Mathematics of Jussieu, Vol.19(3), pp.971-1028
- DOI
- 10.1017/S1474748018000324
- ISSN
- 1474-7480
- eISSN
- 1475-3030
- Publisher
- CAMBRIDGE UNIV PRESS
- Number of pages
- 58
- Grant note
- 637618 / European Research Council; European Research Council (ERC); European Commission
- Language
- English
- Date published
- 05/01/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984240777002771
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