Anti-selfdual Connections on the Quantum Projective Plane: Monopoles

D'Andrea, Francesco;Landi, Giovanni
(2009) arXiv —

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Authors
  • D'Andrea, FrancescoUCLouvain
    Author
  • Landi, Giovanni
    Author
Abstract
(en) We present several results on the geometry of the quantum projective plane CP2q. They include: explicit generators for the K-theory and the K-homology; a real calculus with a Hodge star operator; anti-selfdual connections on line bundles with explicit computation of the corresponding 'monopoles' and 'instanton' charges; complete diagonalization of gauged Laplacians on these line bundles; quantum invariants via equivariant K-theory and q-indices, and more. Comment: 48 pages, no figures, dcpic, pdflatex
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Citations

D’Andrea, F., & Landi, G. (2009). Anti-selfdual Connections on the Quantum Projective Plane: Monopoles. arXiv. https://hdl.handle.net/2078.5/257401