Summary: Topology of symplectomorphism groups of rational ruled
surfaces
Miguel Abreu
Instituto Superior T´ecnico, Lisbon, Portugal
(mabreu@math.ist.utl.pt)
Dusa McDuff
State University of New York at Stony Brook, USA
(dusa@math.sunysb.edu)
October 6, 1999, revised May 13, 2000
1991 Mathematics Subject Classification: 53C15, 57S05.
Abstract
Let M be either S2
× S2
or the one point blow-up CP 2
# CP2
of CP 2
. In both
cases M carries a family of symplectic forms , where > -1 determines the co-
homology class []. This paper calculates the rational (co)homology of the group
G of symplectomorphisms of (M, ) as well as the rational homotopy type of its

Source: Abreu, Miguel - Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa

Collections: Mathematics