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math.CO2018
Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions
Eric Bucher, Chris Eppolito, Jaiung Jun +1
In this paper, we give a cancellation-free antipode formula for the matroid-minor Hopf algebra. We then explore applications of this formula. For example, the cancellation-free for…
math.CT2018
Proto-exact categories of matroids, Hall algebras, and K-theory
Christopher Eppolito, Jaiung Jun, Matt Szczesny
This paper examines the category of pointed matroids and strong maps from the point of view of Hall algebras. We show that has the…