Matroid complexes are equipped with bicomplexes forming a Hopf algebra whose dg-structure yields acyclicity theorems and explicit homology computations that detect nontrivial classes conjecturally generated by odd-wheel matroids.
The 11-loop graph cohomology, 2025.arXiv:2508.13724
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Explorations of Matroid Complexes
Matroid complexes are equipped with bicomplexes forming a Hopf algebra whose dg-structure yields acyclicity theorems and explicit homology computations that detect nontrivial classes conjecturally generated by odd-wheel matroids.