We discuss the hard Lefschetz theorem for simplicial spheres, as well as the theory at its core: Perturbations of maps, biased Poincaré pairings and a cobordism argument that relates the Lefschetz property of a manifold to the Lefschetz property on its boundary, and sketch an alternative argument based on edge-contractions.
|Number of pages
|Rendiconti di Matematica e delle Sue Applicazioni
|Published - 2019
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© 2019 Universita degli Studi di Roma La Sapienza. All rights reserved.
- Face rings
- Hard lefschetz theorem