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.
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.
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Guangcun Lu 1
@article{CRMATH_2002__334_10_889_0, author = {Guangcun Lu}, 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}, }
Guangcun Lu. Symplectic capacities of toric manifolds and combinatorial inequalities. Comptes Rendus. Mathématique, Volume 334 (2002) no. 10, pp. 889-892. doi : 10.1016/S1631-073X(02)02357-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02357-9/
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