On the Jacobi Group and the Mapping Class Group of $S^3\times S^3$
| dc.creator | Krylov, Nikolai A. | |
| dc.date | 2001-07-01 | |
| dc.date.accessioned | 2026-07-07T04:42:26Z | |
| dc.date.available | 2026-07-07T04:42:26Z | |
| dc.description | The paper containes a proof that the mapping class group of the manifold $S^3\times S^3$ is isomorphic to a central extension of the (full) Jacobi group $Γ^J$ by the group of 7-dimensional homotopy spheres. Using a presentation of the group $Γ^J$ and the $μ$-invariant of the homotopy spheres, we give a presentation of the mapping class group of $S^3\times S^3$ with generators and defining relations. We also compute cohomology of the group $Γ^J$ and determine a 2-cocycle that corresponds to the mapping class group of $S^3\times S^3$. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0107005 | |
| dc.identifier | http://arxiv.org/abs/math/0107005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61779 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R50; 57R52; 20J06 | |
| dc.title | On the Jacobi Group and the Mapping Class Group of $S^3\times S^3$ | |
| dc.type | text |