4 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…