Twisting bordered Khovanov homology

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dc.contributor Vo, Liem
dc.contributor Corson, Jon M.
dc.contributor Trace, Bruce S.
dc.contributor Dao, Thang N.
dc.contributor.advisor Roberts, Lawrence Duong, Nguyen Dat
dc.contributor.other University of Alabama Tuscaloosa 2017-03-01T17:23:03Z 2017-03-01T17:23:03Z 2015
dc.identifier.other u0015_0000001_0001886
dc.identifier.other Duong_alatus_0004D_12266
dc.description Electronic Thesis or Dissertation en_US
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. en_US
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. en_US
dc.subject Mathematics
dc.title Twisting bordered Khovanov homology en_US
dc.type thesis
dc.type text University of Alabama. Department of Mathematics Mathematics The University of Alabama doctoral Ph.D.

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