Kevin P. Knudson

collaborators

2 papers

math.AT2026

Discrete Morse theory for open complexes

Kevin P. Knudson, Nicholas A. Scoville

We develop a discrete Morse theory for open simplicial complexes $K = X ∖ T$ where $X$ is a simplicial complex and $T$ a subcomplex of $X$ . A discrete Morse function $f$ on $K…

math.AT2024

Discrete Morse theory on $I^c ◯ S^{2}$

Lacey Johnson, Kevin Knudson

A classical result in Morse theory is the determination of the homotopy type of the loop space of a manifold. In this paper, we study this result through the lens of discrete Morse…

Discrete Morse theory for open complexes

Discrete Morse theory on I^c◯S2

Discrete Morse theory on $I^c ◯ S^{2}$