P. Cahn

activity

20162018

most citedSingular branched covers of four-manifolds

9 citations · 9 across the 1 of their papers we have counts for

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3 papers · 1 filter

math.GT2018

The Dihedral Genus of a Knot

Patricia Cahn, Alexandra Kjuchukova

Let $K \subset S^{3}$ be a Fox $p$ -colored knot and assume $K$ bounds a locally flat surface $S \subset B^{4}$ over which the given $p$ -coloring extends. This coloring of $S$ induces a d…

math.GT2017★ 9 cited

Singular branched covers of four-manifolds

Patricia Cahn, Alexandra Kjuchukova

Consider a dihedral cover $f : Y \to X$ with $X$ and $Y$ four-manifolds and $f$ branched along an oriented surface embedded in $X$ with isolated cone singularities. We prove that onl…

math.GT2016

Mapping class group orbits of curves with self-intersections

Patricia Cahn, Federica Fanoni, Bram Petri

We study mapping class group orbits of homotopy and isotopy classes of curves with self-intersections. We exhibit the asymptotics of the number of such orbits of curves with a boun…