The cohomology rings of real toric spaces and smooth real toric varieties
arXiv:2008.08961 · doi:10.1017/prm.2021.30
Abstract
We compute the cohomology rings of smooth real toric varieties and of real toric spaces, which are quotients of real moment-angle complexes by freely acting subgroups of the ambient 2-torus. The differential graded algebra we present is in fact an equivariant dga model, valid for arbitrary coefficients. We deduce from our description that smooth toric varieties are M-varieties.
arXiv comment15 pages; main result generalized to arbitrary coefficients, title adjusted
References in corpus (8)
- On the integral cohomology of smooth toric varieties
- On Davis-Januszkiewicz homotopy types I; formality and rationalisation
- Describing toric varieties and their equivariant cohomology
- Koszul duality and equivariant cohomology for tori
- The cohomology rings of smooth toric varieties and quotients of moment-angle complexes
- Integral cohomology groups of real toric manifolds and small covers
- Is every toric variety an M-variety?
- Homotopy decomposition of a suspended real toric space