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Mazur manifolds and corks with small shadow complexities (1505.00520v1)
Published 4 May 2015 in math.GT
Abstract: In this paper we find 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 $W{\pm }(l,k)$ which were studied by Akbulut and Kirby.
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