Hypoelliptic Laplacian and Bott–Chern Cohomology A Theorem of Riemann–Roch–Grothendieck in Complex Geometry / by Jean-Michel Bismut.
The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann–Roch–Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott–Chern cohomology, which is a refinement for complex manifolds of de Rham cohomo...
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