The rational homology of smooth, real toric varieties

Prof. Alex Suciu
Northeastern University


I will present a formula for computing the Betti numbers of real toric manifolds, based on a study of cohomology with coefficients in rank one local systems for various polyhedral products, including real Davis-Januszkiewicz spaces and toric complexes. In the case of the Hessenberg varieties, the answer matches a computation previously done by Henderson and Lehrer, using completely different methods.

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