This article is cited in 1 paper

Geometry and topology

Manifolds of cubic complexity two

Ph. G. Korablev^abc, A. A. Kazakov<sup>a

a</sup> Chelyabinsk State University, Br. Kashirinykh str., 192, 454000, Chelyabinsk, Russia
^b N.N. Krasovsky Institute of Mathematics and Meckhanics, str. S. Kovalevskoy, 4, 620990, Ekaterinburg, Russia
^c Laboratory of Quantum Topology of Chelyabinsk State University, Br. Kashirinykh str., 192, 454000, Chelyabinsk, Russia

Abstract: We give the complete list of all orientable closed 3-manifolds which can be obtained by gluing faces of one or two cubes. For each listed manifold we give a cubic diagram of its minimal cubulation.

Keywords: cubulation, manifold, classification, complexity.

UDC: 515.162.32

MSC: 57M27

Received December 12, 2015, published January 27, 2016

DOI: 10.17377/semi.2016.12.001