- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Dolbeault cohomology for almost complex manifolds
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Dolbeault cohomology for almost complex manifolds Cirici, Joana
Description
I will introduce a Fr\"olicher-type spectral sequence that is valid for all almost complex manifolds, yielding a natural Dolbeault cohomology theory for non-integrable structures and a rich theory surrounding it. As an application, we will see how Dolbeault cohomology may be used to detect the non-existence of compatible nearly K\"ahler metrics. In fact, for nearly K\"ahler manifolds, the Frölicher spectral sequence always degenerates at $E_2$, and so the second page recovers the Hodge-Verbitsky decomposition. I will end with a list of open questions that would be great to discuss with the participants during the workshop. This is joint work with Scott Wilson.
Item Metadata
| Title |
Dolbeault cohomology for almost complex manifolds
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2019-10-31T10:51
|
| Description |
I will introduce a Fr\"olicher-type spectral sequence that is valid for all almost complex manifolds, yielding a natural Dolbeault cohomology theory for non-integrable structures and a rich theory surrounding it. As an application, we will see how Dolbeault cohomology may be used to detect the
non-existence of compatible nearly K\"ahler metrics. In fact, for nearly
K\"ahler manifolds, the Frölicher spectral sequence always degenerates at $E_2$,
and so the second page recovers the Hodge-Verbitsky decomposition. I will
end with a list of open questions that would be great to discuss with the
participants during the workshop. This is joint work with Scott Wilson.
|
| Extent |
60.0 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: Universitat de Barcelona
|
| Series | |
| Date Available |
2020-04-29
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0390029
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Researcher
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International