On the group of symplectic automorphisms of $\C P^m \times \C P^n$
| dc.creator | Seidel, Paul | |
| dc.date | 1998-03-19 | |
| dc.date.accessioned | 2026-07-07T05:24:08Z | |
| dc.date.available | 2026-07-07T05:24:08Z | |
| dc.description | Let M be the product of \C P^m and \C P^n, with the standard integral symplectic form. We prove that the inclusion map from the group of symplectic automorphisms of M to its diffeomorphism group is not surjective on homotopy groups. More precisely, it is not surjective on π_j for all odd j \leq \max\{2m-1,2n-1\}. This is a weak higher-dimensional analogue of Gromov's results for \C P^1 \times \C P^1. The proof uses parametrized Gromov-Witten invariants in a new (?) way. We also give some information about the symplectic automorphism groups of M with differently weighted product symplectic structures. | |
| dc.description | 16 pages, LaTex2e with xy-pic | |
| dc.identifier | https://arxiv.org/abs/math/9803085 | |
| dc.identifier | http://arxiv.org/abs/math/9803085 | |
| dc.identifier | In: Northern California Symplectic Geometry Seminar, AMS Translations vol. 196, 1999, pp. 237-250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76717 | |
| dc.subject | Differential Geometry | |
| dc.title | On the group of symplectic automorphisms of $\C P^m \times \C P^n$ | |
| dc.type | text |