E n-cell attachments and a local-to-global principle for homological stability
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We define bounded generation for En -algebras in chain complexes and prove that this property is equivalent to homological stability for n≥2 . Using this we prove a local-to-global principle for homological stability, which says that if an En -algebra A has homological stability (or equivalently the topological chiral homology ∫RnA has homology stability), then so has the topological chiral homology ∫MA of any connected non-compact manifold M. Using scanning, we reformulate the local-to-global homological stability principle so that it applies to compact manifolds. We also give several applications of our results.
Originalsprog | Engelsk |
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Tidsskrift | Mathematische Annalen |
Vol/bind | 370 |
Udgave nummer | 1-2 |
Sider (fra-til) | 209-269 |
Antal sider | 61 |
ISSN | 0025-5831 |
DOI | |
Status | Udgivet - 2018 |
ID: 222542966