Three-dimensional hyperbolic manifolds with cusps of complexity~10 having maximal volume
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 74-87
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We give a complete list of three-dimensional orientable hyperbolic manifolds with cusps obtained by gluing together at most ten regular ideal hyperbolic tetrahedra. Although the list is exhaustive, the question of nonhomeomorphism remains open for some pairs of manifolds with one, two, and three cusps.
Keywords:
hyperbolic manifolds with cusps, complexity of manifolds.
@article{TIMM_2014_20_2_a6,
author = {A. Yu. Vesnin and V. V. Tarkaev and E. A. Fominykh},
title = {Three-dimensional hyperbolic manifolds with cusps of complexity~10 having maximal volume},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {74--87},
publisher = {mathdoc},
volume = {20},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a6/}
}
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%0 Journal Article %A A. Yu. Vesnin %A V. V. Tarkaev %A E. A. Fominykh %T Three-dimensional hyperbolic manifolds with cusps of complexity~10 having maximal volume %J Trudy Instituta matematiki i mehaniki %D 2014 %P 74-87 %V 20 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a6/ %G ru %F TIMM_2014_20_2_a6
A. Yu. Vesnin; V. V. Tarkaev; E. A. Fominykh. Three-dimensional hyperbolic manifolds with cusps of complexity~10 having maximal volume. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 74-87. http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a6/