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dc.contributor.author
Felder, Giovanni
dc.contributor.author
Rimányi, Richárd
dc.contributor.author
Varchenko, Alexander
dc.date.accessioned
2019-11-01T13:14:31Z
dc.date.available
2019-01-10T03:16:26Z
dc.date.available
2019-02-01T11:42:35Z
dc.date.available
2019-11-01T13:14:31Z
dc.date.issued
2018-12-21
dc.identifier.issn
1815-0659
dc.identifier.other
10.3842/SIGMA.2018.132
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/314664
dc.identifier.doi
10.3929/ethz-b-000314664
dc.description.abstract
We define an elliptic version of the stable envelope of Maulik and Okounkov for the equivariant elliptic cohomology of cotangent bundles of Grassmannians. It is a version of the construction proposed by Aganagic and Okounkov and is based on weight functions and shuffle products. We construct an action of the dynamical elliptic quantum group associated with gl2 on the equivariant elliptic cohomology of the union of cotangent bundles of Grassmannians. The generators of the elliptic quantum groups act as difference operators on sections of admissible bundles, a notion introduced in this paper.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-sa/4.0/
dc.subject
Elliptic cohomology
en_US
dc.subject
Elliptic quantum group
en_US
dc.subject
Elliptic stable envelope
en_US
dc.title
Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-ShareAlike 4.0 International
ethz.journal.title
Symmetry Integrability and Geometry: Methods and Applications
ethz.journal.volume
14
en_US
ethz.journal.abbreviated
SIGMA
ethz.pages.start
132
en_US
ethz.size
41 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.publication.place
Kiev
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2019-01-10T03:16:28Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-02-01T11:42:52Z
ethz.rosetta.lastUpdated
2019-11-01T13:14:41Z
ethz.rosetta.versionExported
true
ethz.COinS
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