The complexity of orientable graph manifolds

Alessia Cattabriga, Michele Mulazzani

Type: Article

Publication Date: 2022-01-01

Citations: 0

DOI: https://doi.org/10.1515/advgeom-2021-0040

Abstract

Abstract We give an upper bound for the Matveev complexity of the whole class of closed connected orientable prime graph manifolds; this bound is sharp for all 14502 graph manifolds of the Recogniser catalogue (available at http://matlas.math.csu.ru/?page=search)

Locations

arXiv (Cornell University) - View - PDF
Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) - View - PDF
Advances in Geometry - View

Similar Works

Action	Title	Year	Authors
+	The complexity of orientable graph manifolds	2019	Alessia Cattabriga Michele Mulazzani
+	The complexity of orientable graph manifolds	2019	Alessia Cattabriga Michele Mulazzani
+	Complexity of 3-manifolds	2004	Bruno Martelli
+	Complexity of 3-manifolds	2004	Bruno Martelli
+	Complexity of 3-manifolds	2006	Bruno Martelli
+	Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory	2004	María Rita Casali
+	Обобщение многообразия Эверита. Диаграммы Хегора. Сложность	2011	Козловская Татьяна Анатольевна
+	Computing Matveev's complexity via crystallization theory: the orientable case	2004	María Rita Casali Paola Cristofori
+	Manifolds with small topological complexity	2020	Petar Pavešić
+ PDF Chat	Manifolds with small topological complexity	2024	Petar Pavešić
+ PDF Chat	Compact 3-manifolds via 4-colored graphs	2015	Paola Cristofori Michele Mulazzani
+	3-Manifolds with complexity at most 9	2000	Bruno Martelli Carlo Petronio
+ PDF Chat	Hyperbolic manifolds containing high topological index surfaces	2018	Marion Campisi Matt Rathbun
+	Complexity of 4-Manifolds	2006	Francesco Costantino
+	Complexity, Heegaard diagrams and generalized Dunwoody manifolds	2009	Alessia Cattabriga Michele Mulazzani Andreĭ Vesnin
+ PDF Chat	COMPLEXITY, HEEGAARD DIAGRAMS AND GENERALIZED DUNWOODY MANIFOLDS	2010	Alessia Cattabriga Michele Mulazzani Andreĭ Vesnin
+	Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams	2012	María Rita Casali Paola Cristofori Michele Mulazzani
+ PDF Chat	Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds	2017	Paola Cristofori Evgeny Fominykh Michele Mulazzani Vladimir Tarkaev
+	Finiteness of mapping degrees and ${\rm PSL}(2,{\R})$-volume on graph manifolds	2008	Pierre Derbez Shicheng Wang
+ PDF Chat	Three-Manifolds Having Complexity At Most 9	2001	Bruno Martelli Carlo Petronio

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	A new decomposition theorem for 3-manifolds	2002	Bruno Martelli Carlo Petronio
+	Complexity theory of three-dimensional manifolds	1990	Sergey V. Matveev
+ PDF Chat	Complexity of Geometric Three-manifolds	2004	Bruno Martelli Carlo Petronio
+	New aspects of complexity theory for 3-manifolds	2018	Andreĭ Vesnin Sergei Matveev Evgeny Fominykh
+ PDF Chat	UPPER BOUNDS FOR THE COMPLEXITY OF TORUS KNOT COMPLEMENTS	2013	Evgeny Fominykh Bert Wiest
+ PDF Chat	On the complexity of non-orientable Seifert fibre spaces	2020	Alessia Cattabriga Sergei Matveev Michele Mulazzani Timur Nasybullov
+	Low-Dimensional Geometry	2009	Francis Bonahon