nLab
Spencer cohomology

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

The de Rham cohomology and Dolbeault cohomology can be viewed as abelian sheaf cohomology theories with coefficients in the sheaf of locally constant functions, respectively holomorphic functions. Spencer cohomology is a generalization of these two cohomologies for the case of the solution sheaf of an arbitrary linear differential operator.

References

Discussion of Spencer cohomology as the home of the higher-order torsion invariants of G-structures originates in

  • Victor Guillemin, The integrability problem for GG-structures, Trans. Amer. Math. Soc. 116 (1965), 544–560. (JSTOR)

Last revised on January 16, 2015 at 18:10:23. See the history of this page for a list of all contributions to it.