English

Liftings of surfaces in the plane

Combinatorics 2025-05-27 v1

Abstract

In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we give an estimate on the dimension of self-stresses, when the frameworks will posses a non-trivial lifting.

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Cite

@article{arxiv.2505.18841,
  title  = {Liftings of surfaces in the plane},
  author = {Oleg Karpenkov and Brigitte Servatius and Herman Servatius},
  journal= {arXiv preprint arXiv:2505.18841},
  year   = {2025}
}

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12 pages