16 citations · 47 across the 10 of their papers we have counts for
10 papers
Local equivalence and refinements of Rasmussen's s-invariant
Nathan M. Dunfield, Robert Lipshitz, Dirk Schuetz
Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivaria…
Two second Steenrod squares for odd Khovanov homology
Dirk Schuetz
Recently, Sarkar-Scaduto-Stoffregen constructed a stable homotopy type for odd Khovanov homology, hence obtaining an action of the Steenrod algebra on Khovanov homology with $\math…
A scanning algorithm for odd Khovanov homology
Dirk Schuetz
We adapt Bar-Natan's scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product,…
A calculus for flow categories
Andrew Lobb, Patrick Orson, Dirk Schuetz
We describe a calculus of moves for modifying a framed flow category without changing the associated stable homotopy type. We use this calculus to show that if two framed flow cate…
Framed cobordism and flow category moves
Andrew Lobb, Patrick Orson, Dirk Schuetz
Framed flow categories were introduced by Cohen-Jones-Segal as a way of encoding the flow data associated to a Floer functional. A framed flow category gives rise to a CW-complex w…
Intersection homology of linkage spaces in odd dimensional Euclidean space
Dirk Schuetz
We consider the moduli spaces of a closed linkage with links and prescribed lengths in -dimensional Euclidean space. For t…
Homology of moduli spaces of linkages in high-dimensional Euclidean space
Dirk Schuetz
We study the topology of moduli spaces of closed linkages in \R^d depending on a length vector \ell\in \R^n. In particular, we use equivariant Morse theory to obtain information on…
The isomorphism problem of planar polygon spaces
Dirk Schuetz
We give a proof of a Conjecture of Walker which states that one can recover the lengths of the bars of a circular linkage from the cohomology ring of the configuration space. For a…
Cohomological estimates for $\cat(X,ξ)$
Michael Farber, Dirk Schuetz
This paper studies the homotopy invariant $\cat(X,ξ)$ introduced in \cite{farbe2}. Given a finite cell-complex , we study the function $ξ\mapsto \cat(X,ξ)$ where varies in t…
Controlled connectivity of closed 1-forms
D. Schuetz
We discuss controlled connectivity properties of closed 1-forms and their cohomology classes and relate them to the simple homotopy type of the Novikov complex. The degree of contr…