35 citations · 127 across the 21 of their papers we have counts for
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math.GT2014
Frontiers of sphere recognition in practice
Michael Joswig, Davide Lofano, Frank H. Lutz +1
Sphere recognition is known to be undecidable in dimensions five and beyond, and no polynomial time method is known in dimensions three and four. Here we report on positive and neg…
math.GT2005★ 16 cited
Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I
Ekkehard G. Köhler, Frank H. Lutz
We describe an algorithm for the enumeration of (candidates of) vertex-transitive combinatorial -manifolds. With an implementation of our algorithm, we determine, up to combinat…
math.GT2003★ 17 cited
Triangulated Manifolds with Few Vertices: Geometric 3-Manifolds
Frank H. Lutz
We explicitly construct small triangulations for a number of well-known 3-dimensional manifolds and give a brief outline of some aspects of the underlying theory of 3-manifolds and…