An Odd Analog of Plamenevskaya's Invariant of Transverse Knots

dc.contributor.advisor	Lipshitz, Robert
dc.contributor.author	Montes de Oca, Gabriel
dc.date.accessioned	2020-12-08T15:45:33Z
dc.date.available	2020-12-08T15:45:33Z
dc.date.issued	2020-12-08
dc.description.abstract	Plamenevskaya defined an invariant of transverse links as a distinguished class in the even Khovanov homology of a link. We define an analog of Plamenevskaya’s invariant in the odd Khovanov homology of Ozsváth, Rasmussen, and Szabó. We show that the analog is also an invariant of transverse links and has similar properties to Plamenevskaya’s invariant. We also show that the analog invariant can be identified with an equivalent invariant in the reduced odd Khovanov homology. We demonstrate computations of the invariant on various transverse knot pairs with the same topological knot type and self-linking number.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/25886
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.subject	contact topology	en_US
dc.subject	Khovanov homology	en_US
dc.subject	low-dimensional topology	en_US
dc.subject	Plamenevskaya	en_US
dc.subject	transverse knots	en_US
dc.title	An Odd Analog of Plamenevskaya's Invariant of Transverse Knots
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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