On the cohomology of Torelli groups
| Autor: | Kupers, Alexander, Randal-Williams, Oscar |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Forum of Mathematics, Pi 8 (2020) e7 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/fmp.2020.5 |
| Popis: | We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $\#^g S^n \times S^n$ relative to a disc in a stable range, for $2n \geq 6$. Our calculation is also valid for $2n=2$ assuming that the rational cohomology groups of these Torelli groups are finite dimensional in a stable range. Comment: 57 pages; v2 improved exposition and minor mathematical corrections; v3; v4 final version, to appear in Forum of Mathematics, Pi |
| Databáze: | arXiv |
| Externí odkaz: |
|