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arXiv · 1108.5055

A Leray spectral sequence for noncommutative differential fibrations

Edwin Beggs·Ibtisam Masmali
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Abstract

This paper describes the Leray spectral sequence associated to a differential fibration. The differential fibration is described by base and total differential graded algebras. The cohomology used is noncommutative differential sheaf cohomology. For this purpose, a sheaf over an algebra is a left module with zero curvature covariant derivative. As a special case, we can recover the Serre spectral sequence for a noncommutative fibration.

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Edwin Beggs, Ibtisam Masmali. 2011-08-25. A Leray spectral sequence for noncommutative differential fibrations. https://arxiv.org/abs/1108.5055

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