THE HALL ALGEBRAS OF SURFACES I. (22nd May 2020)
- Record Type:
- Journal Article
- Title:
- THE HALL ALGEBRAS OF SURFACES I. (22nd May 2020)
- Main Title:
- THE HALL ALGEBRAS OF SURFACES I
- Authors:
- Cooper, Benjamin
Samuelson, Peter - Abstract:
- 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.
- Is Part Of:
- Journal of the Institute of Mathematics of Jussieu. Volume 19:Number 3(2020)
- Journal:
- Journal of the Institute of Mathematics of Jussieu
- Issue:
- Volume 19:Number 3(2020)
- Issue Display:
- Volume 19, Issue 3 (2020)
- Year:
- 2020
- Volume:
- 19
- Issue:
- 3
- Issue Sort Value:
- 2020-0019-0003-0000
- Page Start:
- 971
- Page End:
- 1028
- Publication Date:
- 2020-05-22
- Subjects:
- 53D37, -- 17B37
Fukaya categories, -- Hall algebras, -- topological field theory
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=JMJ ↗
- DOI:
- 10.1017/S1474748018000324 ↗
- Languages:
- English
- ISSNs:
- 1474-7480
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 15274.xml