4 citations · 15 across the 7 of their papers we have counts for
7 papers
Lefschetz Properties and Basic Constructions on Simplicial Spheres
Eric Babson, Eran Nevo
The well known -conjecture for homology spheres follows from the stronger conjecture that the face ring over the reals of a homology sphere, modulo a linear system of parameters…
The Lefschetz property for barycentric subdivisions of shellable complexes
Martina Kubitzke, Eran Nevo
We show that an 'almost strong Lefschetz' property holds for the barycentric subdivision of a shellable complex. From this we conclude that for the barycentric subdivision of a Coh…
Algebraic Shifting and f-Vector Theory
Eran Nevo
This thesis focuses on algebraic shifting and its applications to f-vector theory of simplicial complexes and more general graded posets. In particular, several approaches and part…
On the Embeddability of Skeleta of Spheres
Eran Nevo, Uli Wagner
We consider a generalization of the van Kampen-Flores Theorem and relate it to the long-standing -conjecture for simplicial spheres.
On the independence complex of square grids
Mireille Bousquet-Mélou, Svante Linusson, Eran Nevo
The enumeration of independent sets of regular graphs is of interest in statistical mechanics, as it corresponds to the solution of hard-particle models. In 2004, it was conjecture…
A Generalized Macaulay Theorem and Generalized Face Rings
Eran Nevo
We prove that the -vector of members in a certain class of meet semi-lattices satisfies Macaulay inequalities. We construct a large family of meet semi-lattices belonging to thi…