Twisting bordered Khovanov homology

Show simple item record

dc.contributor Vo, Liem
dc.contributor Corson, Jon M.
dc.contributor Trace, Bruce S.
dc.contributor Dao, Thang N.
dc.contributor.advisor Roberts, Lawrence
dc.contributor.author Duong, Nguyen Dat
dc.date.accessioned 2017-03-01T17:23:03Z
dc.date.available 2017-03-01T17:23:03Z
dc.date.issued 2015
dc.identifier.other u0015_0000001_0001886
dc.identifier.other Duong_alatus_0004D_12266
dc.identifier.uri https://ir.ua.edu/handle/123456789/2317
dc.description Electronic Thesis or Dissertation
dc.description.abstract We describe a bordered version of totally twisted Khovanov homology. We first twist Roberts's type D structure by adding a vertical type D structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type D structure is that it is homotopy equivalent to a type D structure supported on spanning tree generators. We also describe how to twist Roberts's type A structure for a left tangle in such a way that pairing our type A and type D structures will result in the totally twisted Khovanov homology. Analogous to the type D structure, there is a spanning-tree-like model for the type A structure.
dc.format.extent 117 p.
dc.format.medium electronic
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.publisher University of Alabama Libraries
dc.relation.ispartof The University of Alabama Electronic Theses and Dissertations
dc.relation.ispartof The University of Alabama Libraries Digital Collections
dc.relation.hasversion born digital
dc.rights All rights reserved by the author unless otherwise indicated.
dc.subject.other Mathematics
dc.title Twisting bordered Khovanov homology
dc.type thesis
dc.type text
etdms.degree.department University of Alabama. Dept. of Mathematics
etdms.degree.discipline Mathematics
etdms.degree.grantor The University of Alabama
etdms.degree.level doctoral
etdms.degree.name Ph.D.


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Browse

My Account