Splitting of Gysin extensions
| dc.creator | Berrick, A. J. | |
| dc.creator | Davydov, A. A. | |
| dc.date | 2002-01-16 | |
| dc.date.accessioned | 2026-07-07T04:45:54Z | |
| dc.date.available | 2026-07-07T04:45:54Z | |
| dc.description | Let X --> B be an orientable sphere bundle. Its Gysin sequence exhibits H^*(X) as an extension of H^*(B)-modules. We prove that the class of this extension is the image of a canonical class that we define in the Hochschild 3-cohomology of H^*(B), corresponding to a component of its A_infty-structure, and generalizing the Massey triple product. We identify two cases where this class vanishes, so that the Gysin extension is split. The first, with rational coefficients, is that where B is a formal space; the second, with integer coefficients, is where B is a torus. | |
| dc.description | Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-37.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0201145 | |
| dc.identifier | http://arxiv.org/abs/math/0201145 | |
| dc.identifier | Algebr. Geom. Topol. 1 (2001) 743-762 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63127 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 16E45, 55R25, 55S35, 16E40, 55R20, 55S20, 55S30 | |
| dc.title | Splitting of Gysin extensions | |
| dc.type | text |