36 citations · 166 across the 32 of their papers we have counts for
5 papers · 1 filter
Transverse universal links
Roger Casals, John B. Etnyre
We show that there exists a transverse link in the standard contact structures on the 3-sphere such that all contact 3-manifolds are contact branched covers over this transverse li…
Loose Engel structures
Roger Casals, Álvaro del Pino, Francisco Presas
This article introduces the notion of a loose family of Engel structures and shows that two such families are Engel homotopic if and only if they are formally homotopic. This impli…
Classification of Engel Knots
Roger Casals, Álvaro del Pino
For any Engel 4-fold, we show that the scanning map from the space of Engel knots to the space of formal Engel knots is a weak homotopy equivalence when restricted to the complemen…
Differential algebra of cubic planar graphs
Roger Casals, Emmy Murphy
In this article we associate a combinatorial differential graded algebra to a cubic planar graph G. This algebra is defined combinatorially by counting binary sequences, which we i…
Symplectomorphisms of exotic discs
Roger Casals, Ailsa Keating, Ivan Smith
We construct a symplectic structure on a disc that admits a compactly supported symplectomorphism which is not smoothly isotopic to the identity. The symplectic structure has an ov…