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Tag: dirac operator
Home Posts tagged "dirac operator"

Tag: dirac operator

Discrete Atiyah-Singer and Atiyah-Bott
discrete geometry, Graph theory

Discrete Atiyah-Singer and Atiyah-Bott

By oliverknill August 22, 2017 November 23, 2017  atiyah-bott, atiyah-singer, dirac operator, lax deformation

As a follow-up note to the strong ring note, I tried between summer and fall semester to formulate a discrete Atiyah-Singer and Atiyah-Bott result for simplicial complexes. … ….

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The Dirac operator of Products
Graph theory, quantum calculus

The Dirac operator of Products

By oliverknill July 16, 2017 July 17, 2017  dirac operator

Implementing the Dirac operator D for products of simplicial complexes without going to the Barycentric refined simplicial complex has numerical advantages. If G is a finite abstract … ….

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