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.
|Number of pages||20|
|Journal||Osaka Journal of Mathematics|
|Publication status||Published - 2018 Jul|
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