Displaying similar documents to “Ideal triangulations of 3-manifolds II; taut and angle structures.”

A gravitational effective action on a finite triangulation as a discrete model of continuous concepts

Albert Ko, Martin Roček (2006)

Archivum Mathematicum

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We recall how the Gauss-Bonnet theorem can be interpreted as a finite dimensional index theorem. We describe the construction given in hep-th/0512293 of a function that can be interpreted as a gravitational effective action on a triangulation. The variation of this function under local rescalings of the edge lengths sharing a vertex is the Euler density, and we use it to illustrate how continuous concepts can have natural discrete analogs.