Timeline for Fibre bundles and flat connections
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 11, 2015 at 4:28 | comment | added | Jesse Silliman | To be precise, I am referencing the Riemann-Hilbert correspondence, which should hold in smooth and holomorphic, but not algebraic, categories. It says that here is an equivalence between vector bundles with connection and local systems, given by taking the flat sections to be a basis for the local system (this works by the existence and uniqueness of solutions for integrable differential equations). This answers yes to both questions. | |
| Feb 10, 2015 at 13:02 | comment | added | Bilateral | Thanks. Does this mean that a flat vector bundle with simply connected base is trivial? A vector bundle endowed with a flat connection always admits a local system? (constant transition functions) | |
| Feb 6, 2015 at 18:21 | vote | accept | Bilateral | ||
| Feb 6, 2015 at 18:11 | history | edited | Jesse Silliman | CC BY-SA 3.0 |
added 153 characters in body
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| Feb 6, 2015 at 18:05 | history | answered | Jesse Silliman | CC BY-SA 3.0 |