4 citations · 17 across the 12 of their papers we have counts for
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math.GT2022
Seifert circles, crossing number and the braid index of generalized knots and links
Gustavo Cardoso, Oscar Ocampo
For classical links Ohyama proved an inequality involving the minimal crossing number and the braid index, then motivated from this Takeda showed an analogous inequality for virtua…
math.GR2022
Positive cones and bi-orderings on almost-direct products of free groups
Oscar Ocampo, Juliana Roberta Theodoro de Lima
Almost-direct products of free groups arise naturally in braid theory and in the study of automorphism groups of free groups. Although bi-invariant orderings are known to exist for…
math.GR2022
On virtual singular braid groups
Oscar Ocampo
The virtual singular braid group arises as a natural common generalization of classical singular braid groups and virtual braid groups. In this paper, we study several algebraic pr…