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http://bura.brunel.ac.uk/handle/2438/25479Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bandara, L | - |
| dc.date.accessioned | 2022-11-09T16:45:17Z | - |
| dc.date.available | 2022-11-09T16:45:17Z | - |
| dc.date.issued | 2022-10-27 | - |
| dc.identifier | ORCiD ID: Lashi Bandara https://orcid.org/0000-0003-1160-2261 | - |
| dc.identifier | 10 | - |
| dc.identifier.citation | Bandara, L. (2023) 'The Relative Index Theorem for General First-Order Elliptic Operators', The Journal of Geometric Analysis, 33, 10, pp.1-20. doi: 10.1007/s12220-022-01048-1. | en_US |
| dc.identifier.issn | 1050-6926 | - |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/25479 | - |
| dc.description.abstract | Copyright © The Author(s) 2022. The relative index theorem is proved for general first-order elliptic operators that are complete and coercive at infinity over measured manifolds. This extends the original result by Gromov–Lawson for generalised Dirac operators as well as the result of Bär–Ballmann for Dirac-type operators. The theorem is seen through the point of view of boundary value problems, using the graphical decomposition of elliptically regular boundary conditions for general first-order elliptic operators due to Bär–Bandara. Splitting, decomposition and the Phi-relative index theorem are proved on route to the relative index theorem. | en_US |
| dc.description.sponsorship | German Research Foundation (DFG) SPP2026 . | - |
| dc.format.extent | 1 - 20 | - |
| dc.format.medium | Print-Electronic | - |
| dc.language | English | - |
| dc.publisher | Springer Nature | en_US |
| dc.rights | Copyright © The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/. | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | Relative index theorem | en_US |
| dc.subject | Index Theory | en_US |
| dc.subject | First-order elliptic operator | en_US |
| dc.subject | Elliptically regular boundary condition | en_US |
| dc.title | The Relative Index Theorem for General First-Order Elliptic Operators | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | https://doi.org/10.1007/s12220-022-01048-1 | - |
| dc.relation.isPartOf | The Journal of Geometric Analysis | - |
| pubs.issue | 1 | - |
| pubs.publication-status | Published online | - |
| pubs.volume | 33 | - |
| dc.identifier.eissn | 1559-002X | - |
| dc.rights.holder | The Author(s) | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | Copyright © The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/. | 336.19 kB | Adobe PDF | View/Open |
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