AbstractWe prove that all components of n-dimensional simple representations of the three string braid group B3 are densely parametrized by rational quiver varieties and give explicit parametrizations for n<12. As an application we show that there is a unique component of 6-dimensional simple B3-representations detecting braid reversion
AbstractLet B be the generalized braid group associated to some finite complex reflection group W. W...
AbstractWe construct representations of the braid groups Bn on n strands on free Z[q±1,s±1]-modules ...
This thesis consists of three applications of Ranicki's algebraic theory of surgery to the topology ...
AbstractMatrix transposition induces an involution τ on the equivalence classes of semi-simple n-dim...
Abstract. Every irreducible component issβ Γ0 of semi-simple n-dimensional representations of the mo...
AbstractWe prove that all components of n-dimensional simple representations of the three string bra...
AbstractIn 1996, E. Formanek classified all the irreducible complex representations of Bn of dimensi...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...
Motivated by physical and topological applications, we study representations of the group LB3 of mot...
We show that the representation, introduced by Lawrence and Krammer to show the linearity of the br...
We show that the representation, introduced by Lawrence and Krammer to show the linearity of the br...
AbstractIn this paper we consider the question of faithfulness of the Jones' representation of braid...
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that ...
AbstractThis paper deals with polynomial invariants of a class of oriented 3-string tangles and the ...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...
AbstractLet B be the generalized braid group associated to some finite complex reflection group W. W...
AbstractWe construct representations of the braid groups Bn on n strands on free Z[q±1,s±1]-modules ...
This thesis consists of three applications of Ranicki's algebraic theory of surgery to the topology ...
AbstractMatrix transposition induces an involution τ on the equivalence classes of semi-simple n-dim...
Abstract. Every irreducible component issβ Γ0 of semi-simple n-dimensional representations of the mo...
AbstractWe prove that all components of n-dimensional simple representations of the three string bra...
AbstractIn 1996, E. Formanek classified all the irreducible complex representations of Bn of dimensi...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...
Motivated by physical and topological applications, we study representations of the group LB3 of mot...
We show that the representation, introduced by Lawrence and Krammer to show the linearity of the br...
We show that the representation, introduced by Lawrence and Krammer to show the linearity of the br...
AbstractIn this paper we consider the question of faithfulness of the Jones' representation of braid...
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that ...
AbstractThis paper deals with polynomial invariants of a class of oriented 3-string tangles and the ...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...
AbstractLet B be the generalized braid group associated to some finite complex reflection group W. W...
AbstractWe construct representations of the braid groups Bn on n strands on free Z[q±1,s±1]-modules ...
This thesis consists of three applications of Ranicki's algebraic theory of surgery to the topology ...