FAQ on the g-theorem and the hard Lefschetz theorem for face rings
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 ba...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2019-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | http://www1.mat.uniroma1.it/ricerca/rendiconti/40_2_(2019)_97-111.html |
| Summary: | 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. |
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| ISSN: | 1120-7183 2532-3350 |