Aldo-Hilario Cruz-Cota

activity

20102015

most citedCounting Generic Quadrisecants of Polygonal Knots

2 citations · 3 across the 4 of their papers we have counts for

collaborators

5 papers

math.GT2015

The Topological Complexity of a Surface

Aldo-Hilario Cruz-Cota

Let $p$ be a branched covering of a Riemann surface to the Riemann sphere $P^{1}$ , with branching set $B \subset P^{1}$ . We define the complexity of $p$ as infinity,…

math.GT2015★ 2 cited

Counting Generic Quadrisecants of Polygonal Knots

Aldo-Hilario Cruz-Cota, Teresita Ramirez-Rosas

Let $K$ be a polygonal knot in general position with vertex set $V$ . A \emph{generic quadrisecant} of $K$ is a line that is disjoint from the set $V$ and intersects $K$ in exactly…

math.GT2011

The simple complexity of a Riemann surface

Aldo-Hilario Cruz-Cota, Teresita Ramirez-Rosas

\noindent Given a Riemann surface $M$ , the \emph{complexity} of a branched cover of $M$ to the Riemann sphere $S^{2}$ , of degree $d$ and with branching set of cardinality $n \geq 3$ ,…

math.GT2010

Classifying Voronoi graphs of hex spheres

Aldo-Hilario Cruz-Cota

A hex sphere is a singular Euclidean sphere with four cones points whose cone angles are (integer) multiples of 2*pi/3 but less than 2*pi. Given a hex sphere M, we consider its Vor…

math.GT2010★ 1 cited

The moduli space of hex spheres

Aldo-Hilario Cruz-Cota

A hex sphere is a singular Euclidean sphere with four cone points whose cone angles are (integer) multiples of $\frac{2 π}{3}$ but less than $2 π$ . We prove that the Moduli space of…