Finiteness of mapping degrees and \(\text{PSL}(2,R\mathbf)\)-volume on graph manifolds

DOI10.2140/agt.2009.9.1727zbMath1187.57021arXiv0801.1946OpenAlexW2110305647MaRDI QIDQ731422

Pierre Derbez, Shi Cheng Wang

Publication date: 6 October 2009

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

Full work available at URL: https://arxiv.org/abs/0801.1946

zbMATH Keywords

graph manifoldsthree-dimensional manifoldsdegree of mapgeometric manifoldsthree-dimensional geometries

Mathematics Subject Classification ID

Degree, winding number (55M25) Algebraic topology of manifolds (57N65) Topology of special sets defined by functions (54C50)

Related Items (3)

Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds ⋮ Local rigidity of aspherical three-manifolds ⋮ Volume of representations and mapping degree

Cites Work

• Unnamed Item
• Unnamed Item
• Volumes in Seifert space
• Simplicial volume of closed locally symmetric spaces of non-compact type
• Harmonic mappings of Kähler manifolds to locally symmetric spaces
• Topological rigidity and Gromov simplicial volume
• Volume and bounded cohomology
• Characteristic numbers of 3-manifolds
• Covering degrees are determined by graph manifolds involved
• The \(\pi_ 1\)-injectivity of self-maps of nonzero degree on 3-manifolds
• Any 3-manifold 1-dominates at most finitely many geometric 3-manifolds
• The degree theorem in higher rank
• Volumes of discrete groups and topological complexity of homology spheres
• Seifert fibered spaces in 3-manifolds
• The Godbillon-Vey Invariant of a Transversely Homogeneous Foliation
• Nonzero degree maps between closed orientable three-manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry

This page was built for publication: Finiteness of mapping degrees and \(\text{PSL}(2,R\mathbf)\)-volume on graph manifolds