Hypoelliptic Laplacian and Bott–Chern Cohomology

1. Introduction
Jean-Michel Bismut

2. The Riemannian adiabatic limit
Jean-Michel Bismut

3. The holomorphic adiabatic limit
Jean-Michel Bismut

4. The elliptic superconnections
Jean-Michel Bismut

5. The elliptic superconnection forms
Jean-Michel Bismut

6. The elliptic superconnections forms when {barpartial}^{M} {partial^{M}} omega^{M} = 0

Jean-Michel Bismut

7. The hypoelliptic superconnections
Jean-Michel Bismut

8. The hypoelliptic superconnection forms
Jean-Michel Bismut

9. The hypoelliptic superconnection forms of vector bundles
Jean-Michel Bismut

10. The hypoelliptic superconnection forms when {barpartial}^{M} {partial^{M}} omega^{M} = 0

Jean-Michel Bismut

11. The exotic superconnection forms of a vector bundle
Jean-Michel Bismut

12. Exotic superconnections and Riemann-Roch-Grothendieck
Jean-Michel Bismut

Keywords: Mathematics, K-Theory, Partial Differential Equations, Global Analysis and Analysis on Manifolds