3 papers
math.QA2026
Defects in skein theory and TQFT
Patrick Kinnear, Ingo Runkel
Given a 3-manifold with a network of line and point defects in its boundary, we define the skein module of this configuration, generalizing the well-studied case of 3-manifolds…
math.GT2023
Skein module dimensions of mapping tori of the 2-torus
Patrick Kinnear
We determine the dimension of the Kauffman bracket skein module at generic for mapping tori of the 2-torus, generalising the well-known computation of Carrega and Gilmer. In th…
math.RA2019
The Wreath Product of Semiprime Skew Braces is Semiprime
Patrick I. Kinnear
In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.