English

Genus zero PALF structures on the Akbulut-Yasui plugs

Geometric Topology 2019-06-11 v1

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. We also examine the monodromies of PALFs on a certain pair of compact Stein surfaces such that one is obtained by applying a plug twist to the other.

Cite

@article{arxiv.1906.03845,
  title  = {Genus zero PALF structures on the Akbulut-Yasui plugs},
  author = {Takuya Ukida},
  journal= {arXiv preprint arXiv:1906.03845},
  year   = {2019}
}

Comments

12 pages, 16 figures

R2 v1 2026-06-23T09:48:32.854Z