dc.contributor.advisor |
Lipshitz, Robert |
|
dc.contributor.author |
Musyt, Jeffrey |
|
dc.date.accessioned |
2019-09-18T19:33:01Z |
|
dc.date.available |
2019-09-18T19:33:01Z |
|
dc.date.issued |
2019-09-18 |
|
dc.identifier.uri |
https://scholarsbank.uoregon.edu/xmlui/handle/1794/24956 |
|
dc.description.abstract |
In this thesis, we give two equivalent definitions for a group $G$ acting on a strictly-unitary-lax-2-functor $D:\CC\rightarrow\mathscr{B}$ from the cube category to the Burnside category. We then show that the natural $\mathbb{Z}/p\mathbb{Z}$ action on a $p$-periodic link $L$ induces such an action on Lipshitz and Sarkar's Khovanov functor $F_{Kh}(L): \CC \rightarrow \mathscr{B}$ which makes the Khovanov homotopy type $\mathcal{X}(L)$ into an equivariant knot invariant. That is, if a link $L'$ is equivariantly isotopic to $L$, then $\mathcal{X}(L')$ is Borel homotopy equivalent to $\mathcal{X}(L)$. |
en_US |
dc.language.iso |
en_US |
|
dc.publisher |
University of Oregon |
|
dc.rights |
All Rights Reserved. |
|
dc.subject |
Khovanov Homology |
en_US |
dc.subject |
Knot Theory |
en_US |
dc.subject |
Low-Dimensional Topology |
en_US |
dc.title |
Equivariant Khovanov Homotopy Type and Periodic Links |
|
dc.type |
Electronic Thesis or Dissertation |
|
thesis.degree.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|