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Martin Sleziak
Martin Sleziak
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They arise in analytic theory of differential equations with regular singularities, Riemann Hilbert problem and Painleve equations.

MR1924757MR1924757 Biswas, Indranil A criterion for the existence of a flat connection on a parabolic vector bundle. (English summary) Adv. Geom. 2 (2002), no. 3, 231–241.

MR1488348MR1488348 Arinkin, D.; Lysenko, S. On the moduli of SL(2)-bundles with connections on P1∖{x1,⋯,x4}. Internat. Math. Res. Notices 1997, no. 19, 983–999.

They arise in analytic theory of differential equations with regular singularities, Riemann Hilbert problem and Painleve equations.

MR1924757 Biswas, Indranil A criterion for the existence of a flat connection on a parabolic vector bundle. (English summary) Adv. Geom. 2 (2002), no. 3, 231–241.

MR1488348 Arinkin, D.; Lysenko, S. On the moduli of SL(2)-bundles with connections on P1∖{x1,⋯,x4}. Internat. Math. Res. Notices 1997, no. 19, 983–999.

They arise in analytic theory of differential equations with regular singularities, Riemann Hilbert problem and Painleve equations.

MR1924757 Biswas, Indranil A criterion for the existence of a flat connection on a parabolic vector bundle. (English summary) Adv. Geom. 2 (2002), no. 3, 231–241.

MR1488348 Arinkin, D.; Lysenko, S. On the moduli of SL(2)-bundles with connections on P1∖{x1,⋯,x4}. Internat. Math. Res. Notices 1997, no. 19, 983–999.

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Alexandre Eremenko
Alexandre Eremenko
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They arise in analytic theory of differential equations with regular singularities, Riemann Hilbert problem and Painleve equations.

MR1924757 Biswas, Indranil A criterion for the existence of a flat connection on a parabolic vector bundle. (English summary) Adv. Geom. 2 (2002), no. 3, 231–241.

MR1488348 Arinkin, D.; Lysenko, S. On the moduli of SL(2)-bundles with connections on P1∖{x1,⋯,x4}. Internat. Math. Res. Notices 1997, no. 19, 983–999.