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 language | English |
|---|---|
| Pages (from-to) | 97-111 |
| Number of pages | 15 |
| Journal | Rendiconti di Matematica e delle Sue Applicazioni |
| Volume | 40 |
| Issue number | 2 |
| State | Published - 2019 |
| Externally published | Yes |
Keywords
- Face rings
- Hard lefschetz theorem
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Modelling and Simulation
- Geometry and Topology
- Fluid Flow and Transfer Processes
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- Applied Mathematics