Complex Line Bundles Over Simplicial Complexes and Their Applications

DOI10.1007/978-3-662-50447-5_6zbMath1353.31009arXiv1506.07853OpenAlexW2246998535MaRDI QIDQ2832774

Felix Knöppel, Ulrich Pinkall

Publication date: 14 November 2016

Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07853

zbMATH Keywords

Dirichlet energydiscrete hermitian line bundlesEuclidean simplical manifolds

Mathematics Subject Classification ID

Dirichlet forms (31C25) Discrete analytic functions (30G25)

Related Items (3)

Approximate and discrete Euclidean vector bundles ⋮ Finite element systems for vector bundles: elasticity and curvature ⋮ A Discrete Extrinsic and Intrinsic Dirac Operator

Cites Work

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• Simplicial gauge theory and quantum gauge theory simulation
• Aharonov-Bohm effect in higher genus materials
• A Gauge Invariant Discretization on Simplicial Grids of the Schrödinger Eigenvalue Problem in an Electromagnetic Field
• Yang-Mills Connections on Surfaces and Representations of the Path Group
• On Some Recent Interactions Between Mathematics and Physics
• Models of the Hofstadter-type

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