Skip to main content

Research Repository

Advanced Search

Outputs (3)

Cohomogeneity one topological manifolds revisited (2017)
Journal Article
Galaz-García, F., & Zarei, M. (2018). Cohomogeneity one topological manifolds revisited. Mathematische Zeitschrift, 288(3-4), 829-853. https://doi.org/10.1007/s00209-017-1915-y

We prove a structure theorem for closed topological manifolds of cohomogeneity one; this result corrects an oversight in the literature. We complete the equivariant classification of closed, simply-connected cohomogeneity one topological manifolds in... Read More about Cohomogeneity one topological manifolds revisited.

Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity (2017)
Journal Article
Galaz-García, F., Kerin, M., Radeschi, M., & Wiemeler, M. (2018). Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity. International Mathematics Research Notices, 2018(18), 5786-5822. https://doi.org/10.1093/imrn/rnx064

In this work, it is shown that a simply connected, rationally elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient of a product of spheres by an almost-free, linear torus action, where this torus has rank equal to t... Read More about Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity.