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 calcu- lus 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.
Anti-selfdual Connections on the Quantum Projective Plane: Monopoles / D'Andrea, F.; Landi, Giovanni. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 297:(2010), pp. 841-893. [10.1007/s00220-010-1057-0]
Anti-selfdual Connections on the Quantum Projective Plane: Monopoles
LANDI, GIOVANNI
2010-01-01
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 calcu- lus 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.Pubblicazioni consigliate
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