Bismut, Jean-Michel A survey of the hypoelliptic Laplacian. (English) Zbl 1180.58001 Hijazi, Oussama (ed.), Géométrie différentielle, physique mathématique, mathématiques et société (II). Volume en l’honneur de Jean Pierre Bourguignon. Paris: Société Mathématique de France (ISBN 978-2-85629-259-4/pbk). Astérisque 322, 39-69 (2008). The paper is a review on the construction of the hypoelliptic Laplacian in the context of de Rham theory for smooth manifolds and on the construction of Dirac operator in the context of complex Kähler manifolds.For the entire collection see [Zbl 1160.53004]. Reviewer: Marco Biroli (Milano) Cited in 5 Documents MSC: 58A14 Hodge theory in global analysis 58J20 Index theory and related fixed-point theorems on manifolds 35H10 Hypoelliptic equations Keywords:hypoelliptic equations; de Rham theory; complex Kähler manifolds; index theory and related fixed point × Cite Format Result Cite Review PDF