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Anti-Selfdual Connections on the Quantum Projective Plane: Monopoles

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D'Andrea, Francesco [UCL] Landi, Giovanni [Dipartimento di Matematica e Informatica, Università di Trieste, Via A. Valerio 12/1, I-34127 Trieste, Italy,]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2010
Language Anglais
Journal information "Communications in Mathematical Physics" - Vol. 297, no. 3, p. 841-893 (2010)
Peer reviewed yes
Publisher Springer (New York)
issn 0010-3616
e-issn 1432-0916
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Links
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Bibliographic reference D'Andrea, Francesco ; Landi, Giovanni. Anti-Selfdual Connections on the Quantum Projective Plane: Monopoles. In: Communications in Mathematical Physics, Vol. 297, no. 3, p. 841-893 (2010)
Permanent URL http://hdl.handle.net/2078.1/33793