• Corpus ID: 246210364

Cyclic Structure behind Modular Gaussian Curvature

  title={Cyclic Structure behind Modular Gaussian Curvature},
  author={Yang Liu},
  • Yang Liu
  • Published 20 January 2022
  • Mathematics
We propose a systematic scheme for computing the variation of rearrangement operators arising in the recently developed spectral geometry on noncommutative tori and θ-deformed Riemannian manifolds. It can be summarized as a category whose objects consists of spectral functions of the rearrangement operators and morphisms are generated by transformations associated to basic operations of the variational calculus. The generators of the morphisms fulfil most of the relations in Connes’s cyclic… 



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