79 citations · 209 across the 18 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
All finite groups are involved in the Mapping Class Group
Gregor Masbaum, Alan W. Reid
Let denote the orientation-preserving Mapping Class Group of the genus closed orientable surface. In this paper we show that for fixed , every finite group occur…
Maslov index, Lagrangians, Mapping Class Groups and TQFT
Patrick M. Gilmer, Gregor Masbaum
Given a mapping class f of an oriented surface Sigma and a lagrangian lambda in the first homology of Sigma, we define an integer n_{lambda}(f). We use n_{lambda}(f) (mod 4) to des…
Integral TQFT for a one-holed torus
Patrick M. Gilmer, Gregor Masbaum
We give new explicit formulas for the representations of the mapping class group of a genus one surface with one boundary component which arise from Integral TQFT. Our formulas all…
Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)
Jorgen Ellegaard Andersen, Gregor Masbaum, Kenji Ueno
We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n)-representations, for any fixed integer…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
Skein-theoretical derivation of some formulas of Habiro
Gregor Masbaum
We use skein theory to compute the coefficients of certain power series considered by Habiro in his theory of sl_2 invariants of integral homology 3-spheres. Habiro originally deri…
Milnor numbers, Spanning Trees, and the Alexander-Conway Polynomial
Gregor Masbaum, Arkady Vaintrob
We study relations between the Alexander-Conway polynomial and Milnor higher linking numbers of links from the point of view of finite-type (Vassiliev) invariants. We gi…