Published September 7, 2015
| Submitted + Published
Journal Article
Open
Noncommutative geometry and Painlevé equations
- Creators
- Okounkov, Andrei
-
Rains, Eric
Chicago
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Abstract
We construct the elliptic Painlevé equation and its higher dimensional analogs as the action of line bundles on 1 -dimensional sheaves on noncommutative surfaces.
Additional Information
© 2015 Mathematical Sciences Publishers. Received: 15 May 2014; Revised: 2 April 2015; Accepted: 17 May 2015; Published: 7 September 2015. The principal results contained in this paper were obtained in September 2008 during our stay at the CRM in Montreal. It is a special pleasure to thank John Harnad and Jacques Hurtubise for making this possible and to acknowledge their fundamental contribution to the subject that is being deformed here in the noncommutative direction. We received valuable feedback, in particular, from D. Kaledin and D. Kazhdan during Okounkov's 2009 Zabrodsky Lecture at Hebrew University as well as from many other people on other occasions. Okounkov thanks the NSF for financial support under FRG DMS-1159416. Rains was supported by NSF grants DMS-0833464 and DMS-1001645.Attached Files
Published - ant-v9-n6-p03-s.pdf
Submitted - 1404.5938v1.pdf
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ant-v9-n6-p03-s.pdf
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Additional details
- Eprint ID
- 61191
- Resolver ID
- CaltechAUTHORS:20151016-074552683
- NSF
- DMS-1159416
- NSF
- DMS-0833464
- NSF
- DMS-1001645
- Created
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2015-10-16Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field