manifolds and cobordisms
cobordism theory, Introduction
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:
Knut Bjarte Haus, Geometric Hodge filtered complex cobordism, PhD thesis (2022) [ntnuopen:3017489]
Knut B. Haus, Gereon Quick, Geometric Hodge filtered complex cobordism [arXiv:2210.13259]
Refinement of the Abel-Jacobi map to Hodge filtered differential MU-cobordism cohomology theory:
Documenta Mathematica 21 (2016) 1645–1668 [arXiv:1503.08449]
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.