We construct a mod 2 analogue of the Witten genus for dimensional spin manifolds, as well as modular characteristic numbers for a class of manifolds which we call manifolds. When these manifolds are actually spin, one recovers the original Witten genus on string manifolds. These genera vanish on string and complete intersections respectively in complex projective spaces.
Nous construisons un analogue du genre de Witten pour les variétés spins de dimension . Nous construisons aussi des nombres caractéristiques modulaires sur une classe de variétés , qu'on appelle variétés . Si les variétés sont spin, on retrouve le genre de Witten sur les variétés cordes. Ces genres sont nuls sur les intersections complètes correspondantes dans les espaces projectives complexes.
Accepted:
Published online:
Qingtao Chen 1; Fei Han 2, 3; Weiping Zhang 4
@article{CRMATH_2010__348_5-6_295_0, author = {Qingtao Chen and Fei Han and Weiping Zhang}, title = {Witten genus and vanishing results on complete intersections}, journal = {Comptes Rendus. Math\'ematique}, pages = {295--298}, publisher = {Elsevier}, volume = {348}, number = {5-6}, year = {2010}, doi = {10.1016/j.crma.2010.02.005}, language = {en}, }
Qingtao Chen; Fei Han; Weiping Zhang. Witten genus and vanishing results on complete intersections. Comptes Rendus. Mathématique, Volume 348 (2010) no. 5-6, pp. 295-298. doi : 10.1016/j.crma.2010.02.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.02.005/
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