Abstract
This book is the product of several discussions with Andrei Teleman. Teleman was motivated by his work on the classification of class VII surfaces1 [T05, T06, T10]. He asked me if using analysis, it was possible to prove a Riemann-Roch- Grothendieck theorem in Bott-Chern cohomology for proper holomorphic submersions, if the source manifold is equipped with a Kähler form that is \({\bar\partial}{\partial}\) closed, and if the direct image is locally free. His question was inspired by results of [B89, BGS88b, BK92].
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Basel
About this chapter
Cite this chapter
Bismut, JM. (2013). Introduction. In: Hypoelliptic Laplacian and Bott–Chern Cohomology. Progress in Mathematics, vol 305. Birkhäuser, Heidelberg. https://doi.org/10.1007/978-3-319-00128-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-00128-9_1
Published:
Publisher Name: Birkhäuser, Heidelberg
Print ISBN: 978-3-319-00127-2
Online ISBN: 978-3-319-00128-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)