Blake K. Winter

activity

20072026

most citedThe Classification of Spun Torus Knots

5 citations · 10 across the 9 of their papers we have counts for

collaborators

11 papers

math.HO2026

A Braid Box

Blake K Winter, Amanda Taylor Lipnicki

We give a method for constructing an interactive art piece which illustrates two different definitions of the braid groups, along with their faithful action on the free group. The…

math.GT2024

Link groups of Kishino knot stacks

Blake K Winter

For any virtual link, a class of new links can be defined called stacks, in which copies of the virtual link are placed on top of one another. The resulting virtual link depends on…

math.GT2021

Some generalizations of Satoh's Tube map

Blake K Winter

Satoh has defined a map from virtual knots to ribbon surfaces embedded in $S^{4}$ . Herein, we generalize this map to virtual $m$ -links, and use this to construct generalizations of w…

math.GT2020

A geometric invariant of virtual n-links

Blake K Winter

For a virtual $n$ -link $K$ , we define a new virtual link $V D (K)$ , which is invariant under virtual equivalence of $K$ . The Dehn space of $V D (K)$ , which we denote $D D (K)$ , therefore…

quant-ph2017

Causality and quantum theory

Blake K Winter

We begin with a brief summary of issues encountered involving causality in quantum theory, placing careful emphasis on the assumptions involved in results such as the EPR paradox a…

math.GT2017

Ribbon n-knots with isomorphic quandles

Blake Karl Winter

Let $K, K^{'}$ be ribbon knottings of $n$ -spheres with $1$ -handles in $S^{n + 2}$ , $n \geq 2$ . We show that if the knot quandles of these knots are isomorphic, then the ribbon knottings…