9 citations · 9 across the 4 of their papers we have counts for
5 papers
Hadamard Matrix Torsion
Davide Lofano, Frank H. Lutz
We construct a series HMT of -dimensional simplicial complexes with torsion HMT$(n))=(\mathbb{Z}_2)^{{k}\choose{1}} \times (\mathbb{Z}_4)^{{k}\choose{2}} \times \cdot…
Random Simple-Homotopy Theory
Bruno Benedetti, Crystal Lai, Davide Lofano +1
We implement an algorithm RSHT (Random Simple-Homotopy) to study the simple-homotopy types of simplicial complexes, with a particular focus on contractible spaces and on finding su…
The worst way to collapse a simplex
Davide Lofano, Andrew Newman
In general a contractible complex need not be collapsible. Moreover, there exist complexes which are collapsible but even so admit a collapsing sequence where one "gets stuck", tha…
Euclidean matchings and minimality of hyperplane arrangements
Davide Lofano, Giovanni Paolini
We construct a new class of maximal acyclic matchings on the Salvetti complex of a locally finite hyperplane arrangement. Using discrete Morse theory, we then obtain an explicit pr…
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…