19 citations · 123 across the 26 of their papers we have counts for
4 papers · 1 filter
Homotopy Brunnian links and the -invariant
Frederick R. Cohen, Rafal Komendarczyk, Clayton Shonkwiler
We provide an alternative proof that Koschorke's -invariant is injective on the set of link homotopy classes of -component homotopy Brunnian links . The existing proo…
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows, Part 2
Dennis DeTurck, Herman Gluck, Rafal Komendarczyk +4
We describe a new approach to triple linking invariants and integrals, aiming for a simpler, wider and more natural applicability to the search for higher order helicities of fluid…
Finite random coverings of one-complexes and the Euler characteristic
Rafal Komendarczyk, Jeffrey Pullen
This article presents an algebraic topology perspective on the problem of finding a complete coverage probability of a one dimensional domain by a random covering, and develops…
Quantitative Darboux theorems in contact geometry
John B. Etnyre, Rafal Komendarczyk, Patrick Massot
This paper begins the study of relations between Riemannian geometry and contact topology in any dimension and continues this study in dimension 3. Specifically we provide a lower…