The Index of Dirac Operators on Incomplete Edge Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Index of Dirac Operators on Incomplete Edge Spaces
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| Creator |
Albin, P.
Gell-Redman, J. |
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| 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.
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| Date |
2019-02-16T09:20:35Z
2019-02-16T09:20:35Z 2016 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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