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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
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1986-
DisplayForm
Sjuvon Chung
Role
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author
Name
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Buch
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Anders Skovsted
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Anders Skovsted Buch
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Advisory Committee
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chair
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Weibel
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Charles
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Charles Weibel
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Advisory Committee
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internal member
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Woodward
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Christopher
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Christopher Woodward
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Advisory Committee
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internal member
Name
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Lenart
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Cristian
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Cristian Lenart
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Advisory Committee
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Name
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Rutgers University
Role
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degree grantor
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Graduate School - New Brunswick
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school
TypeOfResource
Text
Genre
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theses
OriginInfo
DateCreated
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2017
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2017-05
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2017
Place
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xx
Language
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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
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Title
Rutgers University Electronic Theses and Dissertations
Identifier
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ETD
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ETD_8045
PhysicalDescription
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electronic resource
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application/pdf
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Extent
1 online resource (v, 39 p. : ill.)
Note
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Ph.D.
Note
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Includes bibliographical references
Note
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by Sjuvon Chung
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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NjNbRU
Identifier
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doi:10.7282/T3K35XH6
Genre
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ETD doctoral
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Rights
RightsDeclaration
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The author owns the copyright to this work.
RightsHolder
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Name
FamilyName
Chung
GivenName
Sjuvon
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime
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2017-04-14 16:15:08
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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
RULTechMD
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ETD
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windows xp
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2017-04-17T01:24:07
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2017-04-17T01:24:07
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