203 citations · 1.3k across the 72 of their papers we have counts for
73 papers
Moduli spaces of Delzant polytopes and symplectic toric manifolds
Álvaro Pelayo, Francisco Santos
This paper introduces modern geometric combinatorial technology from the theory of triangulations in order to derive results in toric symplectic geometry. In the main part of the p…
Realizations of multiassociahedra via rigidity
Luis Crespo Ruiz, Francisco Santos
Let denote the simplicial complex of -crossing-free subsets of edges in . Here and . Jonsson (2003) proved that (negle…
Many regular triangulations and many polytopes
Arnau Padrol, Eva Philippe, Francisco Santos
We show that for fixed and growing to infinity there are at least different labeled combinatorial types of -polytopes with vertices. This is…
Multitriangulations and tropical Pfaffians
Luis Crespo Ruiz, Francisco Santos
The -associahedron is the simplicial complex of -crossing-free subgraphs of the complete graph with vertices on a circle. Its facets are called -triangulati…
Associahedra minimize -vectors of secondary polytopes of planar point sets
Antonio Fernández, Francisco Santos
Kupavskii, Volostnov, and Yarovikov have recently shown that any set of points in general position in the plane has at least as many (partial) triangulations as the convex -…
Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic
Luis Crespo Ruiz, Francisco Santos
We show that, for points along the moment curve, the bar-and-joint rigidity matroid and the hyperconnectivity matroid coincide, and that both coincide with the -cofa…