Volumes of polyhedra with symmetries

Alexander Mednykh
Sobolev Institute of Mathematics, Novosibirsk State University and Laboratory of Quantum Topology, Chelyabinsk State University, Russia



Content: In this lecture we describe a few methods to calculate the volumes of polyhedra with symmetries in the spaces of constant curvature. We apply the obtained results to find volume of some knots and links modelled in the hyperbolic, spherical or Euclidean geometries.

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