Equivariant Nielsen invariants for discrete groups

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For discrete groups G, we introduce equivariant Nielsen invariants. They are equivariant analogs of the Nielsen number and give lower bounds for the number of fixed point orbits in the G-homotopy class of an equivariant endomorphism f:X->X. Under mild hypotheses, these lower bounds are sharp. We use the equivariant Nielsen invariants to show that a G-equivariant endomorphism f is G-homotopic to a fixed point free G-map if the generalized equivariant Lefschetz invariant of f is zero. Finally, we prove a converse of the equivariant Lefschetz fixed point theorem.
17 pages, submitted to Pacific Journal of Mathematics

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Algebraic Topology, 55M20, 57R91 (Primary); 54H25, 57S99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/113987

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606561
 http://arxiv.org/abs/math/0606561

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arXiv