A note on Lefschetz spheres and their relatives

Afshin Goodarzi

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arXiv · 1906.04134

A note on Lefschetz spheres and their relatives

Afshin Goodarzi

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Abstract

Inspired by the works of Adiprasito, Babson, Nevo, and Murai on the $g$-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.

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Afshin Goodarzi. 2019-06-18. A note on Lefschetz spheres and their relatives. https://arxiv.org/abs/1906.04134

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