The Index of Dirac Operators on Incomplete Edge Spaces
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...
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| Datum: | 2016 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147856 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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irk-123456789-1478562019-02-17T01:27:38Z The Index of Dirac Operators on Incomplete Edge Spaces Albin, P. Gell-Redman, J. 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. 2016 Article 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. 1815-0659 2010 Mathematics Subject Classification: 58G10; 58A35; 58G05 DOI:10.3842/SIGMA.2016.089 http://dspace.nbuv.gov.ua/handle/123456789/147856 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Albin, P. Gell-Redman, J. |
| spellingShingle |
Albin, P. Gell-Redman, J. The Index of Dirac Operators on Incomplete Edge Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Albin, P. Gell-Redman, J. |
| author_sort |
Albin, P. |
| title |
The Index of Dirac Operators on Incomplete Edge Spaces |
| title_short |
The Index of Dirac Operators on Incomplete Edge Spaces |
| title_full |
The Index of Dirac Operators on Incomplete Edge Spaces |
| title_fullStr |
The Index of Dirac Operators on Incomplete Edge Spaces |
| title_full_unstemmed |
The Index of Dirac Operators on Incomplete Edge Spaces |
| title_sort |
index of dirac operators on incomplete edge spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147856 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT albinp theindexofdiracoperatorsonincompleteedgespaces AT gellredmanj theindexofdiracoperatorsonincompleteedgespaces AT albinp indexofdiracoperatorsonincompleteedgespaces AT gellredmanj indexofdiracoperatorsonincompleteedgespaces |
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2025-07-11T02:58:29Z |
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2025-07-11T02:58:29Z |
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