Geometric Spectral Network

A Geometric Spectral Network is a Geometric Object that is a trajectory network on a Riemann surface that obeys to local rules

• AKA: Spectral Network.
• Example(s):
  • …
• Counter-Example(s):
  • Neural Network,
  • Graph Neural Network,
  • Spectral Graph Convolutional Network.
• See: Four-Dimensional Space, Mathematics, Supersymmetric Gauge Theory, Trajectory, Riemann Surface.

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References

2021

• (Wikipedia, 2021) ⇒ https://en.wikipedia.org/wiki/Spectral_network Retrieved:2021-8-29.
  • In mathematics and Supersymmetric gauge theory, spectral networks are "networks of trajectories on Riemann surfaces obeying certain local rules. Spectral networks arise naturally in four-dimensional N = 2 theories coupled to surface defects, particularly the theories of class S."

2013

• (Gaiotto et al., 2013) ⇒ Davide Gaiotto, Gregory W. Moore, and Andrew Neitzke (2013). "Spectral Networks". In: Annales Henri Poincaré (Vol. 14, No. 7, pp. 1643-1731). Springer Basel.
  • QUOTE: We introduce new geometric objects called spectral networks. Spectral networks are networks of trajectories on Riemann surfaces obeying certain local rules.

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