A note on Lefschetz spheres and their relatives
Combinatorics
2019-06-20 v2
Abstract
Inspired by the works of Adiprasito, Babson, Nevo, and Murai on the -conjecture, we consider different classes of PL-spheres and the relations between them. We focus on a certain class of spheres that is in the intersection of vertex-decomposable spheres (a concept due to Provan and Billera) and strongly edge-decomposable spheres (a concept due to Eran Nevo). The spheres in this class are exactly those vertex-decomposable ones for which Adiprasito's recent proof method works.
Cite
@article{arxiv.1906.04134,
title = {A note on Lefschetz spheres and their relatives},
author = {Afshin Goodarzi},
journal= {arXiv preprint arXiv:1906.04134},
year = {2019}
}