Recent results about polyhedral products and toric spaces

Tony Bahri (Rider)

Abstract

A report on the work of Ali Al-Raisi and on joint work with Martin Bendersky, Fred Cohen and Sam Gitler. The topics to be discussed will include the equivariance properties of the stable splitting of polyhedral products and applications, the quotients or certain real moment-angle manifolds by the action of cyclic groups and a calculation of the cohomology of polyhedral products.

If time allows, I shall say something about the cohomology of the free loop spaces of certain toric spaces.

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