Twisting bordered Khovanov homology

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.

Grantor dc:publisher

University of Alabama Libraries

Year dc:date.issued

2015

Author dc:creator

• Duong, Nguyen Dat

Advisor dc:contributor.advisor

• Roberts, Lawrence

Contributors dc:contributor

• Vo, Liem
• Corson, Jon M.
• Trace, Bruce S.
• Dao, Thang N.

• Mathematics

Statement dc:rights

• All rights reserved by the author unless otherwise indicated.

Language dc:language.iso

en_US, English

Dc Identifier Other

u0015_0000001_0001886
Duong_alatus_0004D_12266

OAI identifier oai:identifier

oai:ir.ua.edu:123456789/2317