Research output: Contribution to journal › Article › peer-review
Exact values of complexity for Paoluzzi-Zimmermann manifolds. / Vesnin, A. Yu; Fominykh, E. A.
In: Doklady Mathematics, Vol. 84, No. 1, 01.08.2011, p. 542-544.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Exact values of complexity for Paoluzzi-Zimmermann manifolds
AU - Vesnin, A. Yu
AU - Fominykh, E. A.
PY - 2011/8/1
Y1 - 2011/8/1
N2 - The exact values of the complexity for a 2-parameter family of Paoluzzi-Zimmermann Manifolds are found. The invariant of 3-manifolds and a special spine of a compact manifold is considered. Identifications defining the equivalence relations on the sets of faces, edges, and vertices of the bipyramid, are described. The space can be obtained by gluing the tetrahedra via affine homeomorphisms of their faces and this gluing determines a pseudotriangulation and induces a gluing of polyhedra. The spline is found to have two 2-components, and each of them corresponds to an edge of the pseudotriangulation.
AB - The exact values of the complexity for a 2-parameter family of Paoluzzi-Zimmermann Manifolds are found. The invariant of 3-manifolds and a special spine of a compact manifold is considered. Identifications defining the equivalence relations on the sets of faces, edges, and vertices of the bipyramid, are described. The space can be obtained by gluing the tetrahedra via affine homeomorphisms of their faces and this gluing determines a pseudotriangulation and induces a gluing of polyhedra. The spline is found to have two 2-components, and each of them corresponds to an edge of the pseudotriangulation.
UR - http://www.scopus.com/inward/record.url?scp=80655146171&partnerID=8YFLogxK
U2 - 10.1134/S1064562411050139
DO - 10.1134/S1064562411050139
M3 - Article
AN - SCOPUS:80655146171
VL - 84
SP - 542
EP - 544
JO - Doklady Mathematics
JF - Doklady Mathematics
SN - 1064-5624
IS - 1
ER -
ID: 40113645