nLab differential cobordism cohomology

Contents

Context

Manifolds and cobordisms

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

Differential cobordism cohomology is the refinement to differential cohomology of cobordism cohomology theory.

By tensoring with a Landweber exact ring, this induces various other differential cohomology theories, such as differential elliptic cohomology.

References

A model for a multiplicative differential refinement of complex cobordism cohomology theory, the theory represented by the Thom spectrum MU, is in

Refinement of the Abel-Jacobi map to Hodge filtered differential MU-cobordism cohomology theory:

Introduction and survey:

Last revised on March 9, 2023 at 07:38:29. See the history of this page for a list of all contributions to it.