3 papers
math.GT2018
On the skein module of the product of a surface and a circle
Patrick M. Gilmer, Gregor Masbaum
Let Sigma be a closed oriented surface of genus g. We show that the Kauffman bracket skein module of Sigma x S^1 over the field of rational functions in A has dimension at least 2^…
math.RT2016
An application of TQFT to modular representation theory
Patrick M. Gilmer, Gregor Masbaum
For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory (TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the symplectic group Sp(2g,K) wh…
math.GT2016
On the Kauffman bracket skein module of the 3-torus
Patrick M. Gilmer
Carrega has shown that the Kauffman bracket skein module of the 3-torus over the field of rational functions in the variable A can be generated by 9 skein elements. We show this se…