On the subadditivity of Montesinos complexity of closed orientable 3-manifolds

Lozano Rojo, Álvaro ; Vigara Benito, Rubén

Resumen: A filling Dehn sphere S in a closed 3-manifold M is a sphere transversely immersed in M that defines a cell decomposition of M . Every closed 3-manifold has a filling Dehn sphere Montesinos-Amilibia (Contribuciones Matemáticas: Homenaje a Joaquín Arregui Fernández, Editorial Complutense, pp 239–247, 2000). The Montesinos complexity of a 3 -manifold M is defined as the minimal number of triple points among all the filling Dehn spheres of M . A sharp upper bound for the Montesinos complexity of the connected sum of two 3-manifolds is given.

Idioma: Inglés

DOI: 10.1007/s13398-014-0179-1

Año: 2015

Publicado en: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 109, 2 (2015), 267-279
ISSN: 1578-7303

Factor impacto JCR: 0.468 (2015)

Categ. JCR: MATHEMATICS rank: 223 / 311 = 0.717 (2015) - Q3 - T3

Factor impacto SCIMAGO: 0.391 - Algebra and Number Theory (Q3) - Analysis (Q3) - Geometry and Topology (Q3) - Computational Mathematics (Q3) - Applied Mathematics (Q3)

Tipo y forma: Artículo (PostPrint)