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Identification of a Connection from Cauchy Data on a Riemann Surface with Boundary
| Content Provider | Semantic Scholar |
|---|---|
| Author | Guillarmou, Colin Tzou, Leo |
| Copyright Year | 2010 |
| Abstract | We consider a connection $${\nabla^X}$$ on a complex line bundle over a Riemann surface with boundary M0, with connection 1-form X. We show that the Cauchy data space of the connection Laplacian (also called magnetic Laplacian) $${L := \nabla^X{^*\nabla^X} + q}$$ , with q a complex-valued potential, uniquely determines the connection up to gauge isomorphism, and the potential q. |
| Starting Page | 393 |
| Ending Page | 418 |
| Page Count | 26 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00039-011-0110-2 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1007.0760v2.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/file/index/docid/511912/filename/magnetic0803.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00497657/document |
| Alternate Webpage(s) | https://doi.org/10.1007/s00039-011-0110-2 |
| Volume Number | 21 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
