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Cominuscule flag varieties and their quantum K-theory

Descriptive

TitleInfo
Title
Cominuscule flag varieties and their quantum K-theory
SubTitle
some results
Name (type = personal)
NamePart (type = family)
Chung
NamePart (type = given)
Sjuvon
NamePart (type = date)
1986-
DisplayForm
Sjuvon Chung
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Buch
NamePart (type = given)
Anders Skovsted
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Anders Skovsted Buch
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Advisory Committee
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chair
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NamePart (type = family)
Weibel
NamePart (type = given)
Charles
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Charles Weibel
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Woodward
NamePart (type = given)
Christopher
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Christopher Woodward
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Lenart
NamePart (type = given)
Cristian
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Cristian Lenart
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2017
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2017-05
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
2017
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
This thesis investigates the ring structure of the torus-equivariant quantum K-theory ring QKT(X) for a cominuscule flag variety X. As a main result, we present an identity that relates the product of opposite Schubert classes in QKT(X) to the minimal degree of a rational curve joining the corresponding Schubert varieties. Using this we infer further properties of the ring QKT(X), one of which is that the Schubert structure constants always sum to one. We also introduce a formula for the quantum product of Schubert classes in projective space Pn. As a corollary we establish Griffeth-Ram positivity of the Schubert structure constants for QKT(Pn). After a closer analysis, we conclude that the rings QKT(Pn) are isomorphic for all n.
Subject (authority = RUETD)
Topic
Mathematics
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_8045
PhysicalDescription
Form (authority = gmd)
electronic resource
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application/pdf
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text/xml
Extent
1 online resource (v, 39 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = statement of responsibility)
by Sjuvon Chung
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3K35XH6
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Chung
GivenName
Sjuvon
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2017-04-14 16:15:08
AssociatedEntity
Name
Sjuvon Chung
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical

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ETD
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windows xp
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DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2017-04-17T01:24:07
DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2017-04-17T01:24:07
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