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Homology for irregular connections

Spencer Bloch·Hélène Esnault
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Abstract

Homology with values in a connection with possibly irregular singular points on an algebraic curve is defined, generalizing homology with values in the underlying local system for a connection with regular singular points. Integration defines a perfect pairing between de Rham cohomology with values in the connection and homology with values in the dual connection.

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Spencer Bloch, Hélène Esnault. 2000-05-13. Homology for irregular connections. https://arxiv.org/abs/math/0005137

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