Anti-selfdual Connections on the Quantum Projective Plane: Monopoles

نویسندگان

  • FRANCESCO D’ANDREA
  • GIOVANNI LANDI
چکیده

We present several results on the geometry of the quantum projective plane CPq. 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.

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تاریخ انتشار 2009