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We study SU(2) gluodynamics at finite temperature near the deconfining phasetransition. We create the lattice ensembles using the tadpole improvedLuscher-Weisz action. The overlap Dirac operator is used to determine thefollowing three aspects of vacuum structure: (i) The topological susceptibilityis evaluated at various temperatures across the phase transition, (ii) theoverlap fermion spectral density is determined and found to depend on thePolyakov loop above the phase transition and (iii) the correspondinglocalization properties of low lying eigenmodes are investigated.

Study of the topological vacuum structure of SU(2) gluodynamics at T > 0 with overlap fermions and improved action