Dans cette Note, on annonce une construction d'une déformation de la théorie de Hodge. On construit en particulier l'adjoint de l'opérateur de de Rham sur le fibré cotangent relativement à une forme hermitienne de signature non triviale.
In this Note, we announce the construction of a natural deformation of Hodge theory. In particular we obtain the adjoint of the de Rham operator on the cotangent bundle with respect to a hermitian form of nontrivial signature.
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@article{CRMATH_2004__338_6_471_0,
author = {Jean-Michel Bismut},
title = {Une d\'eformation de la th\'eorie de {Hodge} sur le fibr\'e cotangent},
journal = {Comptes Rendus. Math\'ematique},
pages = {471--476},
publisher = {Elsevier},
volume = {338},
number = {6},
year = {2004},
doi = {10.1016/j.crma.2004.01.012},
language = {fr},
}
Jean-Michel Bismut. Une déformation de la théorie de Hodge sur le fibré cotangent. Comptes Rendus. Mathématique, Volume 338 (2004) no. 6, pp. 471-476. doi : 10.1016/j.crma.2004.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.01.012/
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