45 citations · 674 across the 102 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.GR2026
On Natural Groups
Oliver Knill
A group (G,*) is natural if its group operation is uniquely determined by a metric structure (G,d) on G in the following sense: every group structure (G,.) for which all right tran…
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…