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arXiv:1906.00737 [math.CO]AbstractReferencesReviewsResources

The Hard Lefschetz Theorem for PL spheres

Karim Adiprasito, Johanna K. Steinmeyer

Published 2019-06-03Version 1

We provide a simpler proof of the hard Lefschetz Theorem for face rings of PL spheres. This simplifies the reasoning for an important special case of the main result of the first author in [arxiv:1812.10454], and already implies the McMullen g-conjecture for PL spheres, as well as the Gr\"unbaum-Kalai-Sarkaria conjecture.

Comments: 8 pages. arXiv admin note: text overlap with arXiv:1812.10454
Categories: math.CO, math.AC, math.AG, math.GT
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