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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 056, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.056 (Mi sigma513) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A Note on Dirac Operators on the Quantum Punctured Disk

Slawomir Klimek, Matt McBride

Department of Mathematical Sciences, Indiana University–Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
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DOI: https://doi.org/10.3842/SIGMA.2010.056
Abstract: We study quantum analogs of the Dirac type operator $-2\overline z\frac{\partial}{\partial\overline z}$ 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.
Keywords: operator theory; functional analysis; non-commutative geometry.
Received: March 30, 2010; in final form July 7, 2010; Published online July 16, 2010
Bibliographic databases:
Document Type: Article
MSC: 46L99; 47B25; 81R60
Language: English
Citation: Slawomir Klimek, Matt McBride, “A Note on Dirac Operators on the Quantum Punctured Disk”, SIGMA, 6 (2010), 056, 12 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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