Complexity of virtual 3-manifolds
Geometric Topology
2016-09-23 v1
Abstract
Virtual -manifolds were introduced by S.V. Matveev in 2009 as natural generalizations of the classical -manifolds. In this paper, we introduce a notion of complexity of 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.
Keywords
Cite
@article{arxiv.1609.06813,
title = {Complexity of virtual 3-manifolds},
author = {Evgeny Fominykh and Vladimir Turaev and Andrei Vesnin},
journal= {arXiv preprint arXiv:1609.06813},
year = {2016}
}
Comments
19 pages