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math.AT2026
Inductive construction of path homology chains and the structure of
Matthew Burfitt, Tyrone Cutler
Path homology plays a central role in digraph topology and GLMY theory more generally. Unfortunately, the computation of the path homology of a digraph is a two-step process, a…
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…