FAQ on the g-theorem and the hard Lefschetz theorem for face rings

Karim Adiprasito*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageAmerican English
Pages (from-to)97-111
Number of pages15
JournalRendiconti di Matematica e delle Sue Applicazioni
Volume40
Issue number2
StatePublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 Universita degli Studi di Roma La Sapienza. All rights reserved.

Keywords

  • Face rings
  • Hard lefschetz theorem

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