Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
The Index of Dirac Operators on Incomplete Edge Spaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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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 |
