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arXiv · 2201.09412

Analytic torsion for graphs

Oliver Knill
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Abstract

Analytic torsion is a functional on graphs which only needs linear algebra to be defined. In the continuum it corresponds to the Ray-Singer analytic torsion. We have formulas for analytic torsion if the graph is contractible or if it is a discrete sphere. A key insight is that analytic torsion is the super determinant of the Dirac operator of the graph.

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Oliver Knill. 2022-01-24. Analytic torsion for graphs. https://arxiv.org/abs/2201.09412

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