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math.AT2012
Persistence stability for geometric complexes
Frederic Chazal, Vin de Silva, Steve Oudot
In this paper we study the properties of the homology of different geometric filtered complexes (such as Vietoris-Rips, Cech and witness complexes) built on top of precompact space…
math.SG2012
Combinatorial Floer Homology
Vin de Silva, Joel Robbin, Dietmar Salamon
We define combinatorial Floer homology of a transverse pair of noncontractibe nonisotopic embedded loops in an oriented 2-manifold without boundary, prove that it is invariant unde…