2 papers
math.AT2024
Discrete Morse theory on
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…
math.AT2018
Min-max theory for cell complexes
Lacey Johnson, Kevin Knudson
In the study of smooth functions on manifolds, min-max theory provides a mechanism for identifying critical values of a function. In this paper we introduce a discretized version o…