24 citations · 53 across the 5 of their papers we have counts for
5 papers
The Conway knot has infinite order in smooth concordance
Marco Golla, Juanita Pinzón-Caicedo
We prove that the Conway knot has infinite order in the concordance group, and in particular that it is not slice. Ours is an alternative, independent proof with respect to those o…
Framed instanton homology of surgeries on L-space knots
Tye Lidman, Juanita Pinzon-Caicedo, Christopher Scaduto
An important class of three-manifolds are L-spaces, which are rational homology spheres with the smallest possible Floer homology. For knots with an instanton L-space surgery, we c…
A note on the topological slice genus of satellite knots
Peter Feller, Allison N. Miller, Juanita Pinzon-Caicedo
This paper presents evidence supporting the surprising conjecture that in the topological category the slice genus of a satellite knot is bounded above by the sum of the sli…
Satellites of Infinite Rank in the Smooth Concordance Group
Matthew Hedden, Juanita Pinzon-Caicedo
We conjecture that satellite operations are either constant or have infinite rank in the concordance group. We reduce this to the difficult case of winding number zero satellites,…
Trisections of 4-manifolds with Boundary
Nickolas A. Castro, David T. Gay, Juanita Pinzón-Caicedo
Given a handle decomposition of a 4-manifold with boundary, and an open book decomposition of the boundary, we show how to produce a trisection diagram of a trisection of the 4-man…