Self-mapping degrees of 3-manifolds
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Publication:411719
zbMath1241.55002arXiv0810.1801MaRDI QIDQ411719
Hao Zheng, Jian-chun Wu, Hong Bin Sun, Shi Cheng Wang
Publication date: 30 April 2012
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.1801
Covering spaces and low-dimensional topology (57M10) Degree, winding number (55M25) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60)
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Counting homotopy classes of mappings via Dijkgraaf-Witten invariants ⋮ Realising sets of integers as mapping degree sets ⋮ On the realisation problem for mapping degree sets ⋮ Mapping degrees between spherical $ 3$-manifolds ⋮ Erratum to: ``On self-mapping degrees of \(S^3\)-geometry manifolds ⋮ Sets of degrees of maps between SU(2)-bundles over the 5-sphere ⋮ Nielsen theory on 3-manifolds covered by \(S^{2} \times \mathbb{R}\)
Cites Work
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- On self-mapping degrees of \(S^{3}\)-geometry manifolds
- Self-mapping degrees of torus bundles and torus semi-bundles
- Degree \(\pm 1\) self-maps and self-homeomorphisms on prime 3-manifolds
- Cohomogeneity one manifolds and self-maps of nontrivial degree
- Topological rigidity and Gromov simplicial volume
- The Gromov invariant of links
- The \(\pi_ 1\)-injectivity of self-maps of nonzero degree on 3-manifolds
- Degree-one maps onto lens spaces
- Sur l'analysis situs des variétés à \(n\) dimensions
- Non-zero degree maps between \(2n\)-manifolds
- Seifert manifolds
- Mappings of manifolds and the notion of degree
- A Singular Integral Equation Containing a Parameter
- Fundamental classes not representable by products
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- Degree One Maps Between Geometric 3-Manifolds
- The preimages of submanifolds
- Scindement d'une équivalence d'homotopie en dimension $3$
- π1 -Injective Mappings of Compact 3-Manifolds
- The Geometries of 3-Manifolds