44 citations · 138 across the 32 of their papers we have counts for
5 papers · 1 filter
Multicomplexes on Carnot groups and their associated spectral sequence
Antonio Lerario, Francesca Tripaldi
The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms…
Graph invariants from the topology of rigid isotopy classes
Mara Belotti, Antonio Lerario, Andrew Newman
We define a new family of graph invariants, studying the topology of the moduli space of their geometric realizations in Euclidean spaces, using a limiting procedure reminiscent of…
Complexity of intersections of real quadrics and topology of symmetric determinantal varieties
Antonio Lerario
Let X be the base locus of a linear system W of k quadrics. Let also S be the intersection of W with the discriminant hypersurface in the space of all homogeneous polynomials of de…
Random matrices and the average topology of the intersection of two quadrics
Antonio Lerario
Let X_R be the zero locus in RP^n of one or two independently and Weyl distributed random real quadratic forms (this is the same as requiring that the corresponding symmetric matri…
The total Betti number of the intersection of three real quadrics
Antonio Lerario
We prove that the total Betti number of the intersection X of three quadrics in RP^n is bounded by n(n+1). This bound improves the classical Barvinok's one which is at least of ord…