Harmonic maps 𝐌³→𝐒¹ and 2-cycles, realizing the Thurston norm

DOI10.1090/S0002-9947-04-03577-9zbMath1063.57029arXivmath/0107169MaRDI QIDQ4830363

Gabriel Katz

Publication date: 9 December 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107169

zbMATH Keywords

harmonic mapsfiber spacesThurston normrealizing homology classesMorse maps

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Surgery and handlebodies (57R65) Relations of low-dimensional topology with graph theory (57M15) Singularities of differentiable mappings in differential topology (57R45) Foliations in differential topology; geometric theory (57R30) Realizing cycles by submanifolds (57R95)

Related Items (2)

A Survey of the Thurston Norm ⋮ Scalar curvature and harmonic maps to \(S^1\)

Cites Work

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• The Existence of Least Area Surfaces in 3-Manifolds
• Singular Points of Complex Hypersurfaces. (AM-61)
• Foliations and the topology of 3-manifolds

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