Disk surgery and the primitive disk complexes of the 3-sphere

Sangbum Cho, Yuya Koda, Jung Hoon Lee

研究成果: Article査読

1 被引用数 (Scopus)

抄録

It is known that the primitive disk complex for a genus-2 Heegaard splitting of the 3-sphere is closed under disk surgery operation. We show that, for a genus-g Heegaard splitting of the 3-sphere with g≥3, the primitive disk complex for the splitting is not weakly closed under disk surgery operation. That is, there exist two primitive disks in one of the handlebodies of the splitting such that any disk surgery on one along the other one yields no primitive disks.

本文言語English
論文番号107092
ジャーナルTopology and its Applications
272
DOI
出版ステータスPublished - 2020 3月 1
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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