Journal article
Flat surfaces and stability structures
- Abstract:
- We identify spaces of half-translation surfaces, equivalently complex curves with quadratic differential, with spaces of stability structures on Fukaya-type categories of punctured surfaces. This is achieved by new methods involving the complete classification of objects in these categories, which are defined in an elementary way. We also introduce a number of tools to deal with surfaces of infinite area, where structures similar to those in cluster algebra appear.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 728.1KB, Terms of use)
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- Publisher copy:
- 10.1007/s10240-017-0095-y
Authors
- Publisher:
- Springer
- Journal:
- Publications mathématiques de l'IHÉS More from this journal
- Volume:
- 126
- Issue:
- 1
- Pages:
- 247-318
- Publication date:
- 2017-11-21
- Acceptance date:
- 2017-11-14
- DOI:
- EISSN:
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1618-1913
- ISSN:
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0073-8301
- Keywords:
- Pubs id:
-
pubs:1040587
- UUID:
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uuid:f101615a-4b3f-446c-8c84-dfeac00792c2
- Local pid:
-
pubs:1040587
- Source identifiers:
-
1040587
- Deposit date:
-
2019-08-23
Terms of use
- Copyright holder:
- IHES and Springer-Verlag GmbH
- Copyright date:
- 2017
- Notes:
- © IHES and Springer-Verlag GmbH Germany, part of Springer Nature 2017.
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