Mazur manifolds and corks with small shadow complexities

Hironobu Naoe

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)479-498
Number of pages20
JournalOsaka Journal of Mathematics
Issue number3
Publication statusPublished - 2018 Jul

ASJC Scopus subject areas

  • Mathematics(all)


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