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http://bura.brunel.ac.uk/handle/2438/25479| Title: | The Relative Index Theorem for General First-Order Elliptic Operators |
| Authors: | Bandara, L |
| Keywords: | Relative index theorem;Index Theory;First-order elliptic operator;Elliptically regular boundary condition |
| Issue Date: | 27-Oct-2022 |
| Publisher: | Springer Nature |
| 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. |
| 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. |
| URI: | https://bura.brunel.ac.uk/handle/2438/25479 |
| DOI: | https://doi.org/10.1007/s12220-022-01048-1 |
| ISSN: | 1050-6926 |
| Other Identifiers: | ORCiD ID: Lashi Bandara https://orcid.org/0000-0003-1160-2261 10 |
| Appears in Collections: | Dept of Mathematics Research Papers |
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