Timeline for Differential refinement of homology
Current License: CC BY-SA 4.0
3 events
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| Nov 23, 2020 at 1:27 | comment | added | Dmitri Pavlov | @TobiasDiez: Yes, you get a similar hexagon diagram, by using arguments similar to the ones in Section 3 of Bunke–Nikolaus–Völkl. From there, you can also extract a hands-on description, which will basically amount to looking at compactly supported sections (e.g., compactly supported differential forms), so in a sense, we get a differential analogue of the Borel–Moore homology. | |
| Nov 23, 2020 at 0:06 | comment | added | Tobias Diez | This looks promising. Thanks! Do you know if the resulting homology theory satisfies similar exact sequences as the one defining differential cohomology? Is there a more "hands-on" description of the homology theory in terms of geometric data (e.g. sections of bundles)? | |
| Nov 22, 2020 at 23:45 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |