A simple proof of the fundamental theorem of Kirby calculus on links

Lu, Ning

doi:10.1090/S0002-9947-1992-1065603-2

A simple proof of the fundamental theorem of Kirby calculus on links
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by Ning Lu

Trans. Amer. Math. Soc. 331 (1992), 143-156

DOI: https://doi.org/10.1090/S0002-9947-1992-1065603-2

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Abstract:

In this paper, we relate surgeries on links and Heegaard decompositions, relate framed links and surface mapping classes, and give a simple proof of the fundamental theorem of Kirby calculus on links by the presentation of the surface mapping class groups.

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