From the 1 of 3 linked papers with an AI index.
3 papers
math.AT2026
Inductive construction of path homology chains and the structure of
Matthew Burfitt, Tyrone Cutler
The paper presents an inductive construction of path homology chain modules for directed graphs using upper and lower extensions parametrized by face multigraphs, providing explici…
math.AT2026
On the homotopy types of -dimensional toric orbifolds
Tyrone Cutler, Tseleung So
The cohomological rigidity problem for toric orbifolds asks when an integral cohomology isomorphism implies a homotopy equivalence. In this paper we reformulate the cohomological r…
math.AT2024
Inductive construction of path homology chains
Matthew Burfitt, Tyrone Cutler
Path homology plays a central role in digraph topology and GLMY theory more general. Unfortunately, the computation of the path homology of a digraph is a two-step process, and…