Mathematics – Operator Algebras
Scientific paper
2010-03-29
SIGMA 6 (2010), 056, 12 pages
Mathematics
Operator Algebras
Scientific paper
10.3842/SIGMA.2010.056
We study quantum analogs of the Dirac type operator
$-2\bar{z}\frac{\partial}{\partial\bar{z}}$ on the punctured disk, subject to
the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the
quantum operator and show that it is bounded outside of the zero mode.
Klimek Slawomir
McBride Matt
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