Abstract
The purpose of this chapter is to define the natural superconnection B attached to a holomorphic fibration p : M → S which is equipped with a (1, 1) form ω M as in Chapter 2, and to establish a formula for its curvature. Contrary to what was done in [BGS88b, BK92, B97], we do not assume ω M to be closed.
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). The elliptic superconnections. In: Hypoelliptic Laplacian and Bott–Chern Cohomology. Progress in Mathematics, vol 305. Birkhäuser, Heidelberg. https://doi.org/10.1007/978-3-319-00128-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-00128-9_4
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)