Discrete Connections on the Triangulated Manifolds and difference linear equations

@inproceedings{Novikov2004DiscreteCO,
  title={Discrete Connections on the Triangulated Manifolds and difference linear equations},
  author={Sergey Novikov},
  year={2004}
}
Following the authors works [1, 2, 3], we develop a theory of the discrete analogs of the differential-geometrical GL n-connections over the triangulated n-manifolds. We study a nonstandard discretization based on the interpretation of DG Connection as the linear first order (" triangle ") difference equation in the simplicial complexes acting on the scalar functions of vertices. This theory appeared as a by-product of the new type of dis-cretization for the special Completely Integrable… CONTINUE READING