| dc.contributor.author | Neguţ, Andrei | |
| dc.date.accessioned | 2022-05-16T19:12:19Z | |
| dc.date.available | 2022-05-16T16:14:52Z | |
| dc.date.available | 2022-05-16T19:12:19Z | |
| dc.date.issued | 2022-05 | |
| dc.date.submitted | 2022-01 | |
| dc.identifier.issn | 0073-8301 | |
| dc.identifier.issn | 1618-1913 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/142544.2 | |
| dc.description.abstract | Abstract
We define functors on the derived category of the moduli space ℳ of stable sheaves on a smooth projective surface (under Assumptions A and S below), and prove that these functors satisfy certain commutation relations. These relations allow us to prove that the given functors induce an action of the elliptic Hall algebra on the
K
$K$
-theory of the moduli space ℳ, thus generalizing the action studied by Nakajima, Grojnowski and Baranovsky in cohomology. | en_US |
| dc.publisher | Springer Science and Business Media LLC | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s10240-022-00131-1 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Hecke correspondences for smooth moduli spaces of sheaves | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Neguţ, Andrei. 2022. "Hecke correspondences for smooth moduli spaces of sheaves." | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.relation.journal | Publications mathématiques de l'IHÉS | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2022-05-15T04:22:39Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | IHES and Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | N | |
| dspace.date.submission | 2022-05-15T04:22:39Z | |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work Needed | en_US |
