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math.CO2024
Mapping fiber, loop and suspension graphs in naive discrete homotopy theory
So Yamagata
Discrete homotopy theory or A-homotopy theory is a combinatorial homotopy theory defined on graphs, simplicial complexes, and metric spaces, reflecting information about their conn…
math.CO2024
A categorification for the characteristic polynomial of matroids
Takuya Saito, So Yamagata
In the present paper, we provide cohomology groups for matroids, as a categorification of the characteristic polynomial of matroids. The construction depends on the ``quasi-represe…