Fundamental groups of aspherical manifolds and maps of non-zero degree

DOI10.4171/GGD/451zbMath1483.57024arXiv1507.07778MaRDI QIDQ1650827

Christoforos Neofytidis

Publication date: 13 July 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07778

zbMATH Keywords

aspherical manifoldssimplicial volumecircle bundlesThurston's geometriesnon-zero degree mapsgroups (not) infinite-index presentable by products

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Nilpotent and solvable Lie groups (22E25) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Algebraic topology of manifolds (57N65)

Related Items (14)

NATURAL MAPS FOR MEASURABLE COCYCLES OF COMPACT HYPERBOLIC MANIFOLDS ⋮ Domination between different products and finiteness of associated semi-norms ⋮ Presentability by products for some classes of groups ⋮ On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups ⋮ Ordering Thurston’s geometries by maps of nonzero degree ⋮ A vanishing theorem for tautological classes of aspherical manifolds ⋮ Homotopically rigid Sullivan algebras and their applications ⋮ On stability of non-domination under taking products ⋮ Anosov diffeomorphisms on Thurston geometric 4-manifolds ⋮ The simplicial volume of mapping tori of 3-manifolds ⋮ Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume ⋮ Anosov diffeomorphisms of products II. Aspherical manifolds ⋮ A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices ⋮ Vanishing simplicial volume for certain affine manifolds

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