Homology classes which are represented by graph links

Yano, Koichi

doi:10.1090/S0002-9939-1985-0776213-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homology classes which are represented by graph links
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by Koichi Yano PDF

Proc. Amer. Math. Soc. 93 (1985), 741-746 Request permission

Abstract:

We give a necessary and sufficient condition for a one-dimensional homology class of a graph manifold to be represented by a graph link.

References

William Jaco, Lectures on three-manifold topology, CBMS Regional Conference Series in Mathematics, vol. 43, American Mathematical Society, Providence, R.I., 1980. MR 565450
Friedhelm Waldhausen, Eine Klasse von $3$-dimensionalen Mannigfaltigkeiten. I, II, Invent. Math. 3 (1967), 308–333; ibid. 4 (1967), 87–117 (German). MR 235576, DOI 10.1007/BF01402956
Koichi Yano, The support of global graph links, J. Math. Soc. Japan 37 (1985), no. 4, 683–702. MR 806308, DOI 10.2969/jmsj/03740683