Geometry of the quantum projective plane

2009/12/01 by Francesco D'Andrea, D'Andrea, Francesco, Giovanni Landi +1
Mathematics · Physics and Astronomy · #20G42 #58B34 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:20G42 #msc:58B34

paper · pdf · doi:10.48550/arxiv.0912.0106

v2: one very minor change. 18 pages, amsart, dcpic. Based on invited talks at the Satellite Conference to the 5th European Congress of Mathematics: "Noncommutative structures in Mathematics and Physics", Royal Flemish Academy, Brussels (Belgium), 22-26 July 2008. Published in the Proceedings

arxiv created 2010/05/17 · arxiv updated 2010/05/18

Abstract

We review some of the geometry of the quantum projective plane with emphasis on the construction of a differential calculus and of the Dirac operator (of a spin^c-structure). We also report on anti-self-dual connections on line bundles, the spectrum of associated (gauged) Laplacian operators, and on classical and quantum characteristic classes.

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