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The classical identities between the q-binomial coefficients and factorials can be gener-
alized to a context where numbers are replaced by braids. More precisely, for every pair i, n of
natural num...
The generic representation theory of the Juyumaya algebra of braids and ties
generic representation theory Juyumaya algebra braids and ties
2011/8/29
Abstract: In this paper we determine the complex generic representation theory of the Juyumaya algebra. We show that a certain specialization of this algebra is isomorphic to the small ramified partit...
Detecting coherent structures using braids
topological chaos dynamical systems Lagrangian coherent structures
2011/7/5
The detection of coherent structures is an important problem in
uid dynamics,
particularly in geophysical applications. For instance, knowledge of how regions of
uid are isolated from each other...
Braids and symplectic four-manifolds with abelian fundamental group
four-manifolds abelian fundamental group
2010/3/1
We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with b1>0. As a concrete example, we look at four-manifolds produced from braids by a surgery constructio...
A braid is called quasipositive if it is a product of conjugates of standard generators of the braid group. We present an algorithm deciding if a given braid with three strings is quasipositive or not...