9 citations · 15 across the 3 of their papers we have counts for
5 papers · 1 filter
Linking number obstructions to satellite homomorphisms
Tye Lidman, Allison N. Miller, Juanita Pinzón-Caicedo
We prove that satellite operations that satisfy a certain positivity condition and have winding number other than one are not homomorphisms. The argument uses the -invariants of…
Toroidal homology spheres and SU(2)-representations
Tye Lidman, Juanita Pinzón-Caicedo, Raphael Zentner
We prove that if an integer homology three-sphere contains an embedded incompressible torus, then its fundamental group admits irreducible SU(2)-representations. Our methods use in…
Independence of Iterated Whitehead Doubles
Juanita Pinzón-Caicedo
A theorem of Furuta and Fintushel-Stern provides a criterion for a collection of Seifert fibred homology spheres to be independent in the homology cobordism group of oriented homol…
Diagrams for Relative Trisections
Nickolas A. Castro, David T. Gay, Juanita Pinzón-Caicedo
We establish a correspondence between trisections of smooth, compact, oriented --manifolds with connected boundary and diagrams describing these trisected --manifolds. Such a…
Independence of Satellites of Torus Knots in the Smooth Concordance Group
Juanita Pinzón-Caicedo
The main goal of this article is to obtain a condition under which an infinite collection of satellite knots (with companion a positive torus knot and pattern similar…