On obtient des estimations concrètes pour le largeur symplectique de Gromov pour les variétés toriques par ses données combinatoires. Comme un sous-produit, quelques inéqualités combinatoires dans la théorie de polytope sont obtenus.
We shall give concrete estimations for the Gromov symplectic width of toric manifolds in combinatorial data. As by-products some combinatorial inequalities in the polytope theory are obtained.
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@article{CRMATH_2002__334_10_889_0, author = {Lu, Guangcun}, title = {Symplectic capacities of toric manifolds and combinatorial inequalities}, journal = {Comptes Rendus. Math\'ematique}, pages = {889--892}, publisher = {Elsevier}, volume = {334}, number = {10}, year = {2002}, doi = {10.1016/S1631-073X(02)02357-9}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02357-9/} }
TY - JOUR AU - Lu, Guangcun TI - Symplectic capacities of toric manifolds and combinatorial inequalities JO - Comptes Rendus. Mathématique PY - 2002 SP - 889 EP - 892 VL - 334 IS - 10 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02357-9/ DO - 10.1016/S1631-073X(02)02357-9 LA - en ID - CRMATH_2002__334_10_889_0 ER -
%0 Journal Article %A Lu, Guangcun %T Symplectic capacities of toric manifolds and combinatorial inequalities %J Comptes Rendus. Mathématique %D 2002 %P 889-892 %V 334 %N 10 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02357-9/ %R 10.1016/S1631-073X(02)02357-9 %G en %F CRMATH_2002__334_10_889_0
Lu, Guangcun. Symplectic capacities of toric manifolds and combinatorial inequalities. Comptes Rendus. Mathématique, Tome 334 (2002) no. 10, pp. 889-892. doi : 10.1016/S1631-073X(02)02357-9. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02357-9/
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