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arxiv: 0912.0106 · v2 · submitted 2009-12-01 · 🧮 math.QA · math-ph· math.MP

Geometry of the quantum projective plane

classification 🧮 math.QA math-phmath.MP
keywords quantumgeometryplaneprojectiveanti-self-dualassociatedbundlesc-structure
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We review some of the geometry of the quantum projective plane with emphasis on the construction of a differential calculus and of the Dirac operator (of a spin^c-structure). We also report on anti-self-dual connections on line bundles, the spectrum of associated (gauged) Laplacian operators, and on classical and quantum characteristic classes.

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