Liam Kahmeyer

collaborators

2 papers

math.GT2026

A Lower Bound on the Self-intersections of Fold Singularities

Joshua Drouin, Liam Kahmeyer

For an oriented surface $S$ , the singular set of a fold map $f : S \to R^{2}$ is a collection of smooth curves, also known as fold singularities. We construct a sharp l…

math.GT2025

A homotopy invariant of stable maps to oriented surfaces

Liam Kahmeyer, Rustam Sadykov

The singular set of a generic map $f : M \to F$ of a manifold $M$ of dimension $m \geq 2$ to an oriented surface $F$ is a closed smooth curve $I^£ (f)$ . We study the parity of the number…