6533b86efe1ef96bd12cbe7e
RESEARCH PRODUCT
On the classification of Kim and Kostrikin manifolds
Luisa PaoluzziFulvia SpaggiariAlberto Cavicchiolisubject
[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]3-manifolds; group presentations; spines; orbifolds; polyhedral schemata; branched coveringsAlgebra and Number TheorySeries (mathematics)010102 general mathematicsBoundary (topology)spines0102 computer and information sciences01 natural sciencesgroup presentations3-manifoldsCombinatoricspolyhedral schemata010201 computation theory & mathematics[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]Pairwise comparisonorbifoldsbranched coverings0101 mathematicsQuotient[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]Mathematicsdescription
International audience; 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-05-01 |