| Title:
|
Calculus on symplectic manifolds (English) |
| Author:
|
Eastwood, Michael |
| Author:
|
Slovák, Jan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
54 |
| Issue:
|
5 |
| Year:
|
2018 |
| Pages:
|
265-280 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a new complex. In particular, on complex projective space with its Fubini–Study form and connection, we can build a series of differential complexes akin to the Bernstein–Gelfand–Gelfand complexes from parabolic differential geometry. (English) |
| Keyword:
|
symplectic structure |
| Keyword:
|
Kähler structure |
| Keyword:
|
tractor calculus |
| Keyword:
|
exact complex |
| Keyword:
|
BGG machinery |
| MSC:
|
53B35 |
| MSC:
|
53D05 |
| idZBL:
|
Zbl 06997355 |
| idMR:
|
MR3887354 |
| DOI:
|
10.5817/AM2018-5-265 |
| . |
| Date available:
|
2018-12-06T16:14:04Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147504 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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