Karl Heinz Dovermann

Equivariant surgery theories and their periodicity properties

Summary: Background material and basic results.- to equivariant surgery.- Relations between equivariant surgery theories.- Periodicity theorems in equivariant surgery.- Twisted product formulas for surgery with coefficients.- Products and periodicity for surgery up to pseudoequivalence.

Rigid cyclic group actions on cohomology complex projective spaces

In this paper we discuss smooth and locally smooth cyclic actions on cohomology complex projective spaces. We shall show that in low dimensions the presence of a codimension-two fixed-point component forces many algebraic invariants to behave as they do in the linear examples.

NONISOMORPHIC ALGEBRAIC MODELS OF A SMOOTH MANIFOLD WITH GROUP ACTION

Let G be a finite group and M a closed smooth G manifold. If M has any equivariant algebraic model, then we show that it has uncountable many birationally inequivalent such models. This generalizes a non-equivariant result of Bochnak and Kucharz.