[Le -genre de -variétés avec le deuxième groupe homotopie fin]
Nous construisons des variétés M simplement connexes de dimension avec les propriétés suivantes : le deuxième groupe d'homotopie est fini, M admet une action lisse du cercle et le -genre est non nulle.
We construct simply connected smooth manifolds M of dimension with the following properties: the second homotopy group is finite, M admits a smooth action by the circle and the -genus is non-zero.
Accepté le :
Publié le :
Manuel Amann 1 ; Anand Dessai 2
@article{CRMATH_2010__348_5-6_283_0, author = {Manuel Amann and Anand Dessai}, title = {The $ \stackrel{{\textasciicircum}}{A}$-genus of $ {S}^{1}$-manifolds with finite second homotopy group}, journal = {Comptes Rendus. Math\'ematique}, pages = {283--285}, publisher = {Elsevier}, volume = {348}, number = {5-6}, year = {2010}, doi = {10.1016/j.crma.2010.01.011}, language = {en}, }
TY - JOUR AU - Manuel Amann AU - Anand Dessai TI - The $ \stackrel{ˆ}{A}$-genus of $ {S}^{1}$-manifolds with finite second homotopy group JO - Comptes Rendus. Mathématique PY - 2010 SP - 283 EP - 285 VL - 348 IS - 5-6 PB - Elsevier DO - 10.1016/j.crma.2010.01.011 LA - en ID - CRMATH_2010__348_5-6_283_0 ER -
Manuel Amann; Anand Dessai. The $ \stackrel{ˆ}{A}$-genus of $ {S}^{1}$-manifolds with finite second homotopy group. Comptes Rendus. Mathématique, Volume 348 (2010) no. 5-6, pp. 283-285. doi : 10.1016/j.crma.2010.01.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.01.011/
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