On the classification of Kim and Kostrikin manifolds

Abstract : We completely classify the topological and geometric structures of some series of closed connected orientable 3-manifolds introduced by Kim and Kostrikin in [20, 21] as quotient spaces of certain polyhedral 3-cells by pairwise identifications of their boundary faces. Then we study further classes of closed orientable 3-manifolds arising from similar polyhedral schemata, and describe their topological properties.
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https://hal.archives-ouvertes.fr/hal-00638115
Contributor : Luisa Paoluzzi <>
Submitted on : Thursday, November 3, 2011 - 11:25:54 PM
Last modification on : Wednesday, April 17, 2019 - 4:58:23 PM

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Alberto Cavicchioli, Luisa Paoluzzi, Fulvia Spaggiari. On the classification of Kim and Kostrikin manifolds. J. Knot Theory Ramifications, 2006, 15, pp.549-569. ⟨hal-00638115⟩

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