79 citations · 209 across the 18 of their papers we have counts for
20 papers
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^…
On powers of half-twists in M(0,2n)
Gregor Masbaum
We use elementary skein theory to prove a version of a result of Stylianakis who showed that under mild restrictions on m and n, the normal closure of the m-th power of a half-twis…
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…
Frattini and related subgroups of Mapping Class Groups
G. Masbaum, A. W. Reid
Let denote the orientation-preserving Mapping Class Group of a closed orientable surface of genus with punctures. For a group let denote the intersec…
Dimension formulas for some modular representations of the symplectic group in the natural characteristic
Patrick M. Gilmer, Gregor Masbaum
We compare the dimensions of the irreducible Sp(2g,K)-modules over a field K of characteristic p constructed by Gow with the dimensions of the irreducible Sp(2g,F_p)-modules that a…
Irreducible factors of modular representations of mapping class groups arising in Integral TQFT
Patrick M. Gilmer, Gregor Masbaum
We find decomposition series of length at most two for modular representations in positive characteristic of mapping class groups of surfaces induced by an integral version of the…