Anti-Selfdual Connections on the Quantum Projective Plane: Monopoles

D'Andrea, Francesco;Landi, Giovanni
(2010) Communications in Mathematical Physics — Vol. 297, n° 3, p. 841-893 (2010)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 596.91 KB
No access

Details

Authors
  • D'Andrea, FrancescoUCLouvain
    Author
  • Landi, GiovanniDipartimento di Matematica e Informatica, Università di Trieste, Via A. Valerio 12/1, I-34127 Trieste, Italy,
    Author
Abstract
We present several results on the geometry of the quantum projective plane. 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 'classical' characteristic classes (via Fredholm modules); complete diagonalization of gauged Laplacians on these line bundles; 'quantum' characteristic classes via equivariant K-theory and q-indices.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

D’Andrea, F., & Landi, G. (2010). Anti-Selfdual Connections on the Quantum Projective Plane: Monopoles. Communications in Mathematical Physics, 297(3), 841-893. https://doi.org/10.1007/s00220-010-1057-0 (Original work published 2010)