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We study SU(2) gluodynamics at finite temperature on both sides of thedeconfining phase transition. We create the lattice ensembles using thetree-level tadpole-improved Symanzik action. The Neuberger overlap Diracoperator is used to determine the following three aspects of vacuum structure:(i) The topological susceptibility is evaluated at various temperatures acrossthe phase transition, (ii) the overlap fermion spectral density is determinedand found to depend on the Polyakov loop above the phase transition and (iii)the corresponding localization properties of low-lying eigenmodes areinvestigated. Finally, we compare with zero temperature results.

The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions