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math.CO2020★ 1 cited
On the tropical Lefschetz-Hopf trace formula
Johannes Rau
In this follow-up to arXiv:2007.11642, our main result is a tropical Lefschetz-Hopf trace formula for matroidal automorphisms. We show that both sides of the formula are equal to t…
math.AG2020★ 2 cited
The tropical Poincaré-Hopf theorem
Johannes Rau
We express the beta invariant of a loopless matroid as tropical self-intersection number of the diagonal of its matroid fan (a "local" Poincaré-Hopf theorem). This provides another…