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Governed by locality, we explore a connection between unitary braid group representations associated to a unitary R-matrix and to a simple object in a unitary braided fusion category.
Singular braids are isotopy classes of smooth strings which are allowed to cross each other pairwise with distinct tangents. Under the usual multiplication of braids, they form a monoid. The singular ...
On an authentication scheme based on the Root Problem in the braid group
authentication scheme Root Problem braid group
2009/2/23
Lal and Chaturvedi proposed two authentication schemes
based on the difficulty of the Root Problem in the braid group. We
point out that the first scheme is not really as secure as the Root
Problem...
Braid group actions on derived categories of coherent sheaves
Braid group derived categories coherent sheaves
2010/10/29
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety $X$. The motivation for this is Kontsevich's homological mirror conjecture, together wit...