Universal realisators for homology classes

DOI10.2140/gt.2013.17.1745zbMath1316.57017arXiv1201.4823OpenAlexW3098573354MaRDI QIDQ351714

Alexander A. Gaifullin

Publication date: 9 July 2013

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

Full work available at URL: https://arxiv.org/abs/1201.4823

zbMATH Keywords

hyperbolic manifoldsrealization of cycles

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Algebraic topology of manifolds (57N65) Polyhedral manifolds (52B70)

Related Items (8)

Infinite symmetric groups and combinatorial constructions of topological field theory type ⋮ Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds ⋮ Virtual domination of 3‐manifolds II ⋮ Ordering Thurston’s geometries by maps of nonzero degree ⋮ Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures ⋮ Buchstaber invariant theory of simplicial complexes and convex polytopes ⋮ Virtual domination of 3-manifolds ⋮ Functorial seminorms on singular homology and (in)flexible manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The manifold of isospectral symmetric tridiagonal matrices and realization of cycles by aspherical manifolds
• Hyperbolization of polyhedra
• The topology of isospectral manifolds of tridiagonal matrices
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Convex polytopes, Coxeter orbifolds and torus actions
• Harmonic mappings of Kähler manifolds to locally symmetric spaces
• Volume and bounded cohomology
• Some aspherical manifolds
• Characteristic numbers of 3-manifolds
• Strict hyperbolization
• Quelques propriétés globales des variétés différentiables
• Realisation of cycles by aspherical manifolds
• Fundamental classes not representable by products
• On branched coverings of 3-manifolds which fiber over the circle.
• Geodesics in Piecewise Linear Manifolds
• The construction of combinatorial manifolds with prescribed sets of links of vertices

This page was built for publication: Universal realisators for homology classes