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

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dc.contributor.authorKlimek, S.
dc.contributor.authorMcBride, M.
dc.date.accessioned2019-02-11T16:08:36Z
dc.date.available2019-02-11T16:08:36Z
dc.date.issued2014
dc.description.abstractThe 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.sponsorshipThe 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.identifier.citationA 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 46L99; 47B99; 81R60
dc.identifier.otherDOI:10.3842/SIGMA.2014.036
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146813
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphereuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік