4 papers
Agol cycles of pseudo-Anosov 3-braids
Elaina Aceves, Keiko Kawamuro
An Agol cycle is a complete invariant of the conjugacy class of a pseudo-Anosov mapping class. We study necessary and sufficient conditions for equivalent Agol cycles of pseudo-Ano…
Comparing Bennequin-type inequalities
Elaina Aceves, Keiko Kawamuro, Linh Truong
The slice-Bennequin inequality states an upper bound for the self-linking number of a knot in terms of its four-ball genus. The -Bennequin and -Bennequin inequalities provide…
A Study of Projections of 2-Bouquet Graphs
Elaina Aceves
We extend the concepts of trivializing and knotting numbers for knots to spatial graphs and 2-bouquet graphs, in particular. Furthermore, we calculate the trivializing and knotting…
Cycles in Projective Spaces
Elaina Aceves, David Heywood, Ashley Klahr +1
We prove that every possible -cycle can be embedded into , for all and a power of a prime.