A Leray spectral sequence for noncommutative differential fibrations

Details A Leray spectral sequence for noncommutative differential fibrations A Leray spectral sequence for noncommutative differential fibrations

2011-08-25

arxiv.org/abs/1108.5055v1

Mathematics

Quantum Algebra

The authors would be grateful for any comments or additional references

Scientific paper

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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