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math.GT2022
Expectation of topological invariants
Taejin Paik, Otto van Koert
In this paper, we study the expectation values of topological invariants of the Vietoris-Rips complex and Čech complex for a finite set of sample points on a Riemannian manifold. W…
math.GT2015
Contact open books with exotic pages
Burak Ozbagci, Otto van Koert
We consider a fixed contact 3-manifold that admits infinitely many compact Stein fillings which are all homeomorphic but pairwise non-diffeomorphic. Each of these fillings gives ri…