2 papers
math.HO2026
Elements of finite geometry I
Oliver Knill
This is a snapshot of a first part on a possibly much longer text on finite geometries, meaning graphs or finite abstract simplicial complexes. In in this first batch we review 12…
math.CO2026
Euler Characteristics of Random Manifolds
Oliver Knill
We prove that the expectation of the Euler characteristic X(H) of random level surface H in a given simplicial complex G is E[X(H)] =2-2K(G)-X(G), where K(G)=1-f_0/2+f_1/3- ... is…