All Outputs (3)

A Khovanov stable homotopy type for colored links (2017)
Journal Article
Lobb, A., Orson, P., & Schuetz, D. (2017). A Khovanov stable homotopy type for colored links. Algebraic & geometric topology, 17(2), 1261-1281. https://doi.org/10.2140/agt.2017.17.1261

We extend Lipshitz-Sarkar's definition of a stable homotopy type associated to a link L whose cohomology recovers the Khovanov cohomology of L. Given an assignment c (called a coloring) of positive integer to each component of a link L, we define a s... Read More about A Khovanov stable homotopy type for colored links.

Double L–groups and doubly slice knots (2017)
Journal Article
Orson, P. (2017). Double L–groups and doubly slice knots. Algebraic & geometric topology, 17(1), 273-329. https://doi.org/10.2140/agt.2017.17.273

We develop a theory of chain complex double cobordism for chain complexes equipped with Poincaré duality. The resulting double cobordism groups are a refinement of the classical torsion algebraic LL–groups for localisations of a ring with involution.... Read More about Double L–groups and doubly slice knots.

Twist spinning of knots and metabolizers of Blanchfield pairings (2015)
Journal Article
Friedl, S., & Orson, P. (2015). Twist spinning of knots and metabolizers of Blanchfield pairings. Annales de la Faculté des sciences de Toulouse (En ligne), 24(5), 1203-1218. https://doi.org/10.5802/afst.1481

In a classic paper Zeeman introduced the $k$-twist spin of a knot $K$ and showed that the exterior of a twist spin fibers over $S^1$. In particular this result shows that the knot $K\#-K$ is doubly slice. In this paper we give a quick proof of Zeeman... Read More about Twist spinning of knots and metabolizers of Blanchfield pairings.