10 citations · 45 across the 21 of their papers we have counts for
23 papers · 1 filter
Bounding the Kirby-Thompson invariant of spun knots
Román Aranda, Puttipong Pongtanapaisan, Scott A. Taylor +1
A bridge trisection of a smooth surface in is a decomposition analogous to a bridge splitting of a link in . The Kirby-Thompson invariant of a bridge trisection measures…
Equivariant Heegaard genus of reducible 3-manifolds
Scott A. Taylor
The equivariant Heegaard genus of a 3-manifold with the action of a finite group of diffeomorphisms is the smallest genus of an equivariant Heegaard splitting for . Alth…
Links, bridge number, and width trees
Qidong He, Scott A. Taylor
To each link in we associate a collection of certain labelled directed trees, called width trees. We interpret some classical and new topological link invariants in terms…
Tunnel number and bridge number of composite genus 2 spatial graphs
Scott A. Taylor, Maggy Tomova
Connected sum and trivalent vertex sum are natural operations on genus 2 spatial graphs and, as with knots, tunnel number behaves in interesting ways under these operations. We pro…
Abstractly Planar Spatial Graphs
Scott A. Taylor
This is a survey article for the forthcoming `A Concise Encyclopedia of Knot Theory.' We focus on the topology of spatial graphs with few vertices and edges, paying particular atte…
Two more proofs that the Kinoshita graph is knotted
Makoto Ozawa, Scott A. Taylor
The Kinoshita graph is a particular embedding in the 3-sphere of a graph with three edges, two vertices and no loops. It has the remarkable property that although the removal of an…