Corpus ID: 201070023

Vector-relation configurations and plabic graphs

@article{Affolter2019VectorrelationCA,
  title={Vector-relation configurations and plabic graphs},
  author={Niklas C. Affolter and Max Glick and P. Pylyavskyy and Sanjay Ramassamy},
  journal={arXiv: Combinatorics},
  year={2019}
}
  • Niklas C. Affolter, Max Glick, +1 author Sanjay Ramassamy
  • Published 2019
  • Mathematics
  • arXiv: Combinatorics
  • We study a simple geometric model for local transformations of bipartite graphs. The state consists of a choice of a vector at each white vertex made in such a way that the vectors neighboring each black vertex satisfy a linear relation. Evolution for different choices of the graph coincides with many notable dynamical systems including the pentagram map, $Q$-nets, and discrete Darboux maps. On the other hand, for plabic graphs we prove unique extendability of a configuration from the boundary… CONTINUE READING

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