1 citations · 2 across the 8 of their papers we have counts for
8 papers
Knot invariants from XC-structures on the Sweedler algebra are trivial
Jorge Becerra
An XC-algebra is the minimum algebraic structure needed to define a framed, oriented knot invariant and generalises Lawrence's invariant obtained from ribbon Hopf algebras. In this…
Pivotal Module Categories, Factorization Homology and Modular Invariant Modified Traces
Jorge Becerra, Lukas Woike
The algebraic notion of a pivotal module category was developed by Schaumann and Shimizu and is central to the description of boundary conditions in conformal field theory accordin…
XC-tangles and universal invariants
Jorge Becerra
We introduce a class of decorated abstract graphs, that we call XC-tangles, that provides a very convenient framework to study quantum invariants of tangles and virtual tangles. Th…
Minimal generating sets of rotational Reidemeister moves
Jorge Becerra, Kevin van Helden
Rotational tangle diagrams have been proven to be extremely important in the study of quantum invariants, as they provide a natural passage between topology and quantum algebra. In…
A refined functorial universal tangle invariant
Jorge Becerra
The universal invariant with respect to a given ribbon Hopf algebra is a tangle invariant that dominates all the Reshetikhin-Turaev invariants built from the representation theory…
Strictification and non-strictification of monoidal categories
Jorge Becerra
In this survey paper we give account of several approaches to the strictification and non-strictification of monoidal categories, which are constructions that turn a monoidal categ…
On Bar-Natan - van der Veen's perturbed Gaussians
Jorge Becerra
We elucidate further properties of the novel family of polynomial time knot polynomials devised by Bar-Natan and van der Veen based on the Gaussian calculus of generating series fo…
A combinatorial PROP for bialgebras
Jorge Becerra
It is a classical result that the category of finitely-generated free monoids serves as a PROP for commutative bialgebras. Attaching permutations to fix the order of multiplication…