Twisting bordered Khovanov homology

Duong, Nguyen Dat

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.contributor.other	University of Alabama Tuscaloosa
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	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
etdms.degree.department	University of Alabama. Department of Mathematics
etdms.degree.discipline	Mathematics
etdms.degree.grantor	The University of Alabama
etdms.degree.level	doctoral
etdms.degree.name	Ph.D.

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