A geometric description of smooth cohomology
Ulrich Bunke, Matthias Kreck, Thomas Schick
TL;DR
This paper introduces a geometric cobordism model for smooth integral cohomology, simplifying the understanding of cup products and integration, and ensuring their compatibility within the framework.
Contribution
It provides a new geometric cobordism-based model for smooth integral cohomology, enhancing conceptual clarity and computational ease.
Findings
Simplified descriptions of cup product and integration in smooth cohomology
Verification of compatibility between cohomological structures
A geometric framework facilitating cohomology computations
Abstract
In this paper we give a geometric cobordism description of smooth integral cohomology. This model allows for simple descriptions of both the cup product and the integration, so that it is easy to verify the compatibilty of these structures.
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