ATTI DEL SEMINARIO MATEMATICO E FISICO DEL'UNIVERSITAÌ€ DI MODENA E REGGIO EMILIA
Abstract
The symplectic group Sp(2g,Z) is a subgroup of the
linear group SL(2g,Z) and admits a faithful action on the sphere
S^{2g-1}, induced from its linear action on Euclidean space R^{2g}.
Generalizing corresponding results for linear groups we show that, for g> 2, any
continuous action of Sp(2g,Z) on a homology m-sphere, and in particular on
S^m, is trivial if m < 2g-1.
