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[en] Virtual -manifolds were introduced by Matveev in 2009 as natural generalizations of classical -manifolds. In this paper, we introduce a notion of complexity for a virtual -manifold. We investigate the values of the complexity for virtual 3-manifolds presented by special polyhedra with one or two -components. On the basis of these results, we establish the exact values of the complexity for a wide class of hyperbolic -manifolds with totally geodesic boundary. Bibliography: 24 titles. (paper)
Journal
Sbornik. Mathematics; ISSN 1064-5616; 
; v. 207(11); p. 1493-1511
; v. 207(11); p. 1493-1511