nLab differential cobordism cohomology



Manifolds and cobordisms

Differential cohomology



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.


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

The notion of Hodge filtered differential complex cobordism theory:

Introduction and survey:

A geometric cocycle model:

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

On Umkehr maps in this context:

Last revised on June 10, 2023 at 08:57:25. See the history of this page for a list of all contributions to it.