Mazur manifolds and corks with small shadow complexities

Hironobu Naoe

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper we show that there exist infinitely many Mazur type manifolds and corks with shadow complexity one among the 4-manifolds constructed from contractible special polyhedra having one true vertex by using the notion of Turaev’s shadow. We also find such manifolds among 4-manifolds constructed from Bing’s house. Our manifolds with shadow complexity one contain the Mazur manifolds W± (l, k) which were studied by Akbulut and Kirby.

本文言語English
ページ(範囲)479-498
ページ数20
ジャーナルOsaka Journal of Mathematics
55
3
出版ステータスPublished - 2018 7

ASJC Scopus subject areas

  • Mathematics(all)

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