| Title:
|
Fundamental group of $\operatorname{Symp}(M,\omega )$ with no circle action (English) |
| Author:
|
Kędra, Jarek |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
75-78 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that $\pi _1(\operatorname{Symp}(M, \omega ))$ can be nontrivial for $M$ that does not admit any symplectic circle action. (English) |
| Keyword:
|
symplectomorphism |
| Keyword:
|
circle action |
| MSC:
|
53C15 |
| MSC:
|
53D35 |
| MSC:
|
57S05 |
| idZBL:
|
Zbl 1212.57016 |
| idMR:
|
MR2591663 |
| . |
| Date available:
|
2009-06-25T13:47:31Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128290 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[8] McDuff, D.: Symplectomorphism Groups and almost Complex Structures.In: Essays on geometry and related topics, Vol. 1, 2, 2001, volume 38 of Monogr. Enseign. Math., pp. 527–556. Zbl 1010.53064, MR 1929338 |
| Reference:
|
[9] McDuff, D.: The symplectomorphism group of a blow up.Geom. Dedicata 132 (2008), 1–29. Zbl 1155.53055, MR 2396906, 10.1007/s10711-007-9175-3 |
| Reference:
|
[10] McDuff, D., Salamon, D.: Introduction to symplectic topology.Oxford Math. Monogr. (1998), Second edition. MR 1702941 |
| . |
