Equivariant Khovanov Homotopy Type and Periodic Links
| 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.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.identifier.uri | https://hdl.handle.net/1794/24956 | |
| 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.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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