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A Criterion for the Existence of a Flat Connection on a Parabolic Vector Bundle by Indranil Biswas is a Mathematics article available to read on EtoBox.

What is A Criterion for the Existence of a Flat Connection on a Parabolic Vector Bundle about?

We define holomorphic connection on a parabolic vector bundle over a Riemann surface and prove that a parabolic vector bundle admits a holomorphic connection if and only if each direct summand of it is of parabolic degree zero. This is a generalization to the parabolic context of a well-known result of Weil which says that a holomorphic vector bundle on a Riemann surface admits a holomorphic connection if and only if every direct summand of it is of degree zero.

Who reads A Criterion for the Existence of a Flat Connection on a Parabolic Vector Bundle?

Author

Indranil Biswas

Publisher

Walter de Gruyter GmbH

Published

2002

Language

EN

Field

Mathematics (Physical Sciences)