Dubrovnik VI – Geometric Topology

September 30 – October 7, 2007


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ABSTRACTS

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Neľa Mramor*
University of Ljubljana, Slovenia

Maps betwee G-manifolds, equivariant up to a homomorphism

We consider maps between compact connected manifolds with a free action of compact Lie groups G and H, respectively, which are equivariant up to a homomorphism $h : G \to H$, and prove a formula for the degree of a certain class of such maps. In particular, we consider the degree of a map f between two free G manifolds of the same dimension which instead of being equivariant satisfies the property that f(gx) = gr f(x) for all x.

* This is a joint work with Jan Jaworowski.

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