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dc.contributor.author Albin, P.
dc.contributor.author Gell-Redman, J.
dc.date.accessioned 2019-02-16T09:20:35Z
dc.date.available 2019-02-16T09:20:35Z
dc.date.issued 2016
dc.identifier.citation The Index of Dirac Operators on Incomplete Edge Spaces / P. Albin, J. Gell-Redman // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 62 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 58G10; 58A35; 58G05
dc.identifier.other DOI:10.3842/SIGMA.2016.089
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147856
dc.description.abstract We derive a formula for the index of a Dirac operator on a compact, even-dimensional incomplete edge space satisfying a ''geometric Witt condition''. We accomplish this by cutting off to a smooth manifold with boundary, applying the Atiyah-Patodi-Singer index theorem, and taking a limit. We deduce corollaries related to the existence of positive scalar curvature metrics on incomplete edge spaces. uk_UA
dc.description.sponsorship ments P.A. was supported by NSF grant DMS-1104533 and Simons Foundation grant #317883. The authors are happy to thank Rafe Mazzeo and Richard Melrose for many useful and interesting discussions. They are also grateful to the comments of the anonymous referees, particularly their suggestion of Remark 3.5. 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 The Index of Dirac Operators on Incomplete Edge Spaces uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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