5 citations · 5 across the 2 of their papers we have counts for
4 papers
New curiosities in the menagerie of corks
Kyle Hayden, Lisa Piccirillo
A cork is a smooth, contractible, oriented, compact 4-manifold together with a self-diffeomorphism of the boundary 3-manifold that cannot extend to a self-diffeomorphism of…
The trace embedding lemma and spinelessness
Kyle Hayden, Lisa Piccirillo
We demonstrate new applications of the trace embedding lemma to the study of piecewise-linear surfaces and the detection of exotic phenomena in dimension four. We provide infinitel…
Exotic Mazur manifolds and knot trace invariants
Kyle Hayden, Thomas E. Mark, Lisa Piccirillo
From a handlebody-theoretic perspective, the simplest compact, contractible 4-manifolds, other than the 4-ball, are Mazur manifolds. We produce the first pairs of Mazur manifolds t…
Legendrian ribbons and strongly quasipositive links in an open book
Kyle Hayden
We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure.…