Flat cycles in the homology of \(\Gamma \setminus SL_m \mathbb{R} / SO(m)\)

DOI10.4171/CMH/366zbMath1344.57013arXiv1205.5016OpenAlexW1848191541MaRDI QIDQ894378

Grigori Avramidi, Nguyen-Phan T. Tam

Publication date: 30 November 2015

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5016

zbMATH Keywords

locally symmetric spacesnonpositive curvaturehomology, totally geodesic tori

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Discontinuous groups of transformations (57S30) Cohomology of arithmetic groups (11F75) Homology and homotopy of topological groups and related structures (57T99) Linear incidence geometry (51A99)

Related Items (3)

Geometric cycles and bounded cohomology for a cocompact lattice in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ Geometric cycles and characteristic classes of manifold bundles (with an appendix by M. Krannich) ⋮ Geometric construction of homology classes in Riemannian manifolds covered by products of hyperbolic planes

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