We completely classify the topological and geometric structures of some series of closed connected orientable 3-manifolds introduced by Kim and Kostrikin in Sbornik Math. 188 (1997) 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.
On the classification of Kim and Kostrikin manifolds / Cavicchioli, Alberto; L., Paoluzzi; Spaggiari, Fulvia. - In: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. - ISSN 0218-2165. - STAMPA. - 15:5(2006), pp. 549-569. [10.1142/S0218216506004592]
On the classification of Kim and Kostrikin manifolds
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2006
Abstract
We completely classify the topological and geometric structures of some series of closed connected orientable 3-manifolds introduced by Kim and Kostrikin in Sbornik Math. 188 (1997) 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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