TOPOLOGY IN SU(2) YANG-MILLS-THEORY

New results on the topology of the SU(2) Yang-Mills theory are present ed. At zero temperature we obtain the value of the topological suscept ibility by using the recently introduced smeared operators as well as a properly renormalized geometric definition. Both determinations are in agreement. At non-zero temperature we study the behaviour of the to pological susceptibility across the confinement transition pointing ou t some qualitative differences with respect to the analogous result fo r the SU(3) gauge theory.