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The complexity of orientable graph manifolds

Geometric Topology 2019-05-02 v5

Abstract

We give an upper bound for the Matveev complexity of the whole class of closed connected orientable prime graph manifolds that is sharp for all 14502 graph manifolds of the Recognizer catalogue (available at \texttt{http://matlas.math.csu.ru/?page=search}).

Keywords

Cite

@article{arxiv.1902.03881,
  title  = {The complexity of orientable graph manifolds},
  author = {Alessia Cattabriga and Michele Mulazzani},
  journal= {arXiv preprint arXiv:1902.03881},
  year   = {2019}
}

Comments

Details added. Submitted version

R2 v1 2026-06-23T07:37:36.038Z