Unboundedness of some higher Euler classes

DOI10.2140/agt.2020.20.1221zbMath1441.57028arXiv1709.03359OpenAlexW3099795498MaRDI QIDQ2187727

Kathryn Mann

Publication date: 3 June 2020

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03359

zbMATH Keywords

Euler class3-manifoldhomeomorphism groupSeifert fibered

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Characteristic classes and numbers in differential topology (57R20) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Cites Work

• Unnamed Item
• Unnamed Item
• The Smale conjecture for Seifert fibered spaces with hyperbolic base orbifold
• Diffeomorphisms of elliptic 3-manifolds
• An alternative proof that 3-manifolds can be triangulated
• Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes
• Volume and bounded cohomology
• The Gromov norm of the Kähler class of symmetric domains
• Foliated bundles, invariant measures and flat manifolds
• Homeomorphisms of sufficiently large \(P^2\)-irreducible 3-manifolds
• On the existence of a connection with curvature zero
• Deformations of spaces of imbeddings
• Bundles with totally disconnected structure group
• The Gromov norm of the Kähler class and the Maslov index.
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Bounded Cohomology of Certain Groups of Homeomorphisms
• Foliations and groups of diffeomorphisms
• Large-scale geometry of homeomorphism groups
• The diffeomorphism group of a compact Riemann surface