Abstract
The purpose of this chapter is to construct exotic hypoelliptic superconnection forms associated with a holomorphic Hermitian vector bundle. This chapter prepares for Chapter 11, in which a Riemann-Roch-Grothendieck formula in Bott- Chern cohomology will be established using exotic hypoelliptic superconnections. This chapter is also related to Chapter 8, in which ordinary hypoelliptic superconnections for vector bundles were considered.
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© 2013 Springer Basel
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Bismut, JM. (2013). The exotic superconnection forms of a vector bundle. In: Hypoelliptic Laplacian and Bott–Chern Cohomology. Progress in Mathematics, vol 305. Birkhäuser, Heidelberg. https://doi.org/10.1007/978-3-319-00128-9_11
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DOI: https://doi.org/10.1007/978-3-319-00128-9_11
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Publisher Name: Birkhäuser, Heidelberg
Print ISBN: 978-3-319-00127-2
Online ISBN: 978-3-319-00128-9
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