Branched surfaces and Thurston’s norm on homology
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- by Jeffrey L. Tollefson and Ningyi Wang PDF
- Proc. Amer. Math. Soc. 122 (1994), 635-642 Request permission
Abstract:
Given a closed, irreducible, orientable 3-manifold M, let x denote the Thurston norm on ${H_2}(M;R)$. Suppose g, h, and f are three homology classes of ${H_2}(M;Z)$ carried by a single face of the x-unit sphere in ${H_2}(M;R)$. In this paper it is shown that there exists a taut, oriented branched surface carrying representatives of g and h and a semi-taut oriented branched surface carrying representatives of all three homology classes.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 635-642
- MSC: Primary 57M12; Secondary 57N10
- DOI: https://doi.org/10.1090/S0002-9939-1994-1246537-4
- MathSciNet review: 1246537