Anti-Selfdual Connections on the Quantum Projective Plane: Monopoles

作者:D'Andrea Francesco*; Landi Giovanni
来源:Communications in Mathematical Physics, 2010, 297(3): 841-893.
DOI:10.1007/s00220-010-1057-0

摘要

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.

  • 出版日期2010-8