P. Cahn

activity

20042026

most citedSingular branched covers of four-manifolds

9 citations · 38 across the 15 of their papers we have counts for

collaborators

17 papers

math.GT2026

Decompositions and diagrams of symplectic surfaces in Weinstein domains

Román Aranda, Patricia Cahn, Agniva Roy +1

We introduce combinatorial and diagrammatic methods for representing properly embedded symplectic surfaces in 4-dimensional Weinstein domains. We show that positive ascending surfa…

math.GT2023

Algorithms for Computing Invariants of Trisected Branched Covers

Patricia Cahn, Gordana Matic, Benjamin Ruppik

We give diagrammatic algorithms for computing the group trisection, homology groups, and intersection form of a closed, orientable, smooth 4-manifold, presented as a branched cover…

math.GT2023

Linking in Cyclic Branched Covers and Satellite (non)-Homomorphisms

Patricia Cahn, Alexandra Kjuchukova

Let $K \subset S^{3}$ be a knot and $η, γ \subset S^{3} \ K$ be simple closed curves. Denote by $Σ_{q} (K)$ the $q$ -fold cyclic branched cover of $K$ . We give an explicit formula fo…

math.GT2021

Dihedral Linking Invariants

Patricia Cahn, Elise Catania, Sarangoo Chimgee +2

A Fox p-colored knot $K$ in $S^{3}$ gives rise to a corresponding $p$ -fold dihedral branched cover $M$ of $S^{3}$ along $K$ . The pre-image of the knot $K$ under the covering map is a $…

math.GT2019

A note on three-fold branched covers of $S^{4}$

Ryan Blair, Patricia Cahn, Alexandra Kjuchukova +1

We show that any 4-manifold admitting a $(g; k_{1}, k_{2}, 0)$ -trisection is an irregular 3-fold cover of the 4-sphere whose branching set is a surface in $S^{4}$ , smoothly embedded except…

math.GT2018★ 3 cited

The Dihedral Genus of a Knot