Functorial Knot Theory : Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants

86 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Cohomology of Categorical Self-Distributivity (2006, methodology): “These diagrams have been used (see for example [18, 27]) for proving facts about Hopf algebras and related invariants.”
Bottom tangles and universal invariants (2005, background): “In some applications, the following form may be more useful.”
Tensor categories: a selective guided tour (2008, methodology): “• There are Tannaka-style theorem for not necessarily symmetric categories (Ulbrich [268], Yetter [288], Schauenburg [239]): Let C be a k-linear pivotal category with End1 = kid1 and let E : C → Vectk a fiber functor.”
Convex Hull Realizations of the Multiplihedra (2007, methodology): “The 3 dimensional version of the multiplihedron is called by the name Chinese lantern diagram in [38], and used to describe deformation of functors.”
Categories for the practising physicist (2009, background): “Some examples of possible elaborations and corresponding applications of t he graphical language presented in this paper are in [26, 27, 24, 46, 64, 66, 68, 69].”