[La tolologie de l'espace des boules symplectiques dans
Dans cette Note, nous calculons le type d'homotopie complet de l'espace des plongements symplectiques de la boule standard
In this Note we compute the full homotopy type of the space of symplectic embeddings of the standard ball
Accepté le :
Publié le :
Sílvia Anjos 1 ; François Lalonde 2
@article{CRMATH_2007__345_11_639_0, author = {S{\'\i}lvia Anjos and Fran\c{c}ois Lalonde}, title = {The topology of the space of symplectic balls in $ {S}^{2}\times {S}^{2}$}, journal = {Comptes Rendus. Math\'ematique}, pages = {639--642}, publisher = {Elsevier}, volume = {345}, number = {11}, year = {2007}, doi = {10.1016/j.crma.2007.10.025}, language = {en}, }
Sílvia Anjos; François Lalonde. The topology of the space of symplectic balls in $ {S}^{2}\times {S}^{2}$. Comptes Rendus. Mathématique, Volume 345 (2007) no. 11, pp. 639-642. doi : 10.1016/j.crma.2007.10.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.10.025/
[1] Homotopy decomposition of a group of symplectomorphisms of
[2] The homotopy type of the space of symplectic balls in
[3] S. Anjos, F. Lalonde, M. Pinsonnault, in preparation
[4] Groupes d'automorphismes et plongements symplectiques de boules dans les variétés rationelles, C. R. Acad. Sci. Paris, Ser. I, Volume 335 (2002), pp. 931-934
[5] The topology of the space of symplectic balls in rational 4-manifolds, Duke Math. J., Volume 122 (2004) no. 2, pp. 347-397
[6] M. Pinsonnault, Symplectomorphism groups and embeddings of balls into rational ruled surfaces, Compositio Math., in press
- The homotopy type of the space of symplectic balls in rational ruled 4–manifolds, Geometry Topology, Volume 13 (2009) no. 2, p. 1177 | DOI:10.2140/gt.2009.13.1177
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