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Representations of the Kauffman skein algebra II: punctured surfaces
Representations of the Kauffman skein algebra II punctured surfaces Geometric Topology
2012/6/29
In earlier work, we constructed invariants of irreducible representations of the Kauffman skein algebra of a surface. We introduce here an inverse construction, which to a set of possible invariants a...
Representations of the Kauffman skein algebra I: invariants and miraculous cancellations
Representations of the Kauffman skein algebra I invariants miraculous cancellations Geometric Topology
2012/6/29
We study finite-dimensional representations of the Kauffman skein algebra of a surface S. In particular, we construct invariants of such irreducible representations when the underlying parameter q is ...
Skein algebras and cluster algebras of marked surfaces
Skein algebras cluster algebras marked surfaces Quantum Algebra Geometric Topology
2012/4/17
This paper defines several algebras associated to an oriented surface S with a finite set of marked points on the boundary. The first is the skein algebra Sk_q(S), which is spanned by links in the sur...
We use Jones-Wenzl idempotents to construct bases for the relative Kauffman bracket skein module of a square with n points colored 1 and one point colored h. We consider a natural bilinear form on thi...
Frobenius extensions play a central role in the link homology theories based upon the sl(n)
link variants, and each of these Frobenius extensions may be recast geometrically via a category of marked ...