A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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dc.contributor.author	Klimek, S.
dc.contributor.author	McBride, M.
dc.date.accessioned	2019-02-11T16:08:36Z
dc.date.available	2019-02-11T16:08:36Z
dc.date.issued	2014
dc.identifier.citation	A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 46L99; 47B99; 81R60
dc.identifier.other	DOI:10.3842/SIGMA.2014.036
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146813
dc.description.abstract	The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.	uk_UA
dc.description.sponsorship	The first author would like to thank W. Szymanski for interesting discussions that inspired this paper. We would also like to acknowledge the referees for insightful comments and remarks.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA