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- Title
Representations of Atiyah Algebroids and Logarithmic Connections.
- Authors
Tortella, Pietro
- Abstract
We investigate representations of At(N), the Atiyah algebroid of a holomorphic line bundle N over a complex manifold Y. We give a definition of monodromy for At(N)-module and study the corresponding Riemann-Hilbert correspondence. The main application is to show that, locally around the divisor of the singularities, the Deligne extensions and the Riemann-Hilbert correspondence for regular meromorphic connections can be obtained as a pull-back of a similar results for At(N)-modules.
- Subjects
ALGEBROIDS; LOGARITHMIC functions; HOLOMORPHIC functions; MONODROMY groups; RIEMANN-Roch theorems; MATHEMATICAL singularities
- Publication
IMRN: International Mathematics Research Notices, 2017, Vol 2017, Issue 1, p29
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnw010