Genus zero PALF structures on the Akbulut-Yasui plugs

Takuya Ukida

doi:5112ojm

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Home > Journals > Osaka J. Math. > Volume 59 > Issue 2 > Article

April 2022 Genus zero PALF structures on the Akbulut-Yasui plugs

Takuya Ukida

Author Affiliations +

Takuya Ukida¹
¹Department of Creative Technology Engineering National Institute of Technology, Anan College

Osaka J. Math. 59(2): 363-368 (April 2022).

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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.