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Warped Graphs of Nonpositively Curved Gluings

Metric Geometry 2020-03-16 v2 Algebraic Topology

Abstract

We prove that all finite graphs of groups with cyclic vertex and edge groups act freely and isometrically on a complete, nonpositively curved geodesic metric space.

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Cite

@article{arxiv.2001.04274,
  title  = {Warped Graphs of Nonpositively Curved Gluings},
  author = {Pedro Ontaneda and Ted Ofner},
  journal= {arXiv preprint arXiv:2001.04274},
  year   = {2020}
}

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12 pages