The Index of Dirac Operators on Incomplete Edge Spaces

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dc.contributor.authorAlbin, P.
dc.contributor.authorGell-Redman, J.
dc.date.accessioned2019-02-16T09:20:35Z
dc.date.available2019-02-16T09:20:35Z
dc.date.issued2016
dc.description.abstractWe 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.sponsorshipments 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.identifier.citationThe 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58G10; 58A35; 58G05
dc.identifier.otherDOI:10.3842/SIGMA.2016.089
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147856
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Index of Dirac Operators on Incomplete Edge Spacesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік