3 citations · 3 across the 5 of their papers we have counts for
5 papers
Morse Theory for Complexes of Groups
Naya Yerolemou, Vidit Nanda
We construct an equivariant version of discrete Morse theory for simplicial complexes endowed with group actions. The key ingredient is a 2-categorical criterion for making acyclic…
Graph Pseudometrics from a Topological Point of View
Ana Lucia Garcia-Pulido, Kathryn Hess, Jane Tan +3
We explore pseudometrics for directed graphs in order to better understand their topological properties. The directed flag complex associated to a directed graph provides a useful…
A topological selection of folding pathways from native states of knotted proteins
Agnese Barbensi, Naya Yerolemou, Oliver Vipond +3
Understanding the biological function of knots in proteins and their folding process is an open and challenging question in biology. Recent studies classify the topology and geomet…
Filtered matchings and simplicial complexes
Daniele Celoria, Naya Yerolemou
To any finite simplicial complex X, we associate a natural filtration starting from Chari and Joswig's discrete Morse complex and abutting to the matching complex of X. This constr…
A discrete Morse perspective on knot projections and a generalised clock theorem
Daniele Celoria, Naya Yerolemou
We obtain a simple and complete characterisation of which matchings on the Tait graph of a knot diagram induce a discrete Morse function (dMf) on , extending a construction du…