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Irreducible Fuchsian system with reducible monodromy representation |
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| Authors: | I. V. V’yugin |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, Moscow |
| Abstract: | We present an example of the reducible representation χ = χ1 ? χ2, which, on the one hand, is the monodromy representation of a Fuchsian system. On the other hand, the representation χ2 is a counterexample to the Riemann-Hilbert problem. Using a meromorphic gauge transformation, one cannot reduce this system to the direct sum of Fuchsian systems corresponding to the subrepresentations. |
| Keywords: | Fuchsian system reducible monodromy Riemann-Hilbert problem monodromy representation logarithmic connection holomorphic bundle |
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