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April 2022 Genus zero PALF structures on the Akbulut-Yasui plugs
Takuya Ukida
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Osaka J. Math. 59(2): 363-368 (April 2022).

Abstract

We construct a genus zero PALF structure on each of plugs introduced by Akbulut and Yasui and describe the monodromy as a positive factorization in the mapping class group of a fiber.

Acknowledgments

The author would like to thank Hisaaki Endo for his helpful comments and his encouragement. The author wishes to thank Kouichi Yasui and Yuichi Yamada for their useful comments.

Citation

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Takuya Ukida. "Genus zero PALF structures on the Akbulut-Yasui plugs." Osaka J. Math. 59 (2) 363 - 368, April 2022.

Information

Received: 11 June 2019; Revised: 13 January 2021; Published: April 2022
First available in Project Euclid: 7 April 2022

Subjects:
Primary: 57K40
Secondary: 57R65

Rights: Copyright © 2022 Osaka University and Osaka City University, Departments of Mathematics

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Vol.59 • No. 2 • April 2022
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