Free Torus Actions and Two-Stage Spaces

Details Free Torus Actions and Two-Stage Spaces Free Torus Actions and Two-Stage Spaces

2003-09-26

arxiv.org/abs/math/0309434v1

Mathematics

Algebraic Topology

17 pages, to appear in Math. Proc. Camb. Philos. Soc

Scientific paper

10.1017/S0305004103007242

We prove the toral rank conjecture of Halperin in some new cases. Our results
apply to certain elliptic spaces that have a two-stage Sullivan minimal model,
and are obtained by combining new lower bounds for the dimension of the
cohomology and new upper bounds for the toral rank. The paper concludes with
examples and suggestions for future work.

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