Abstract
The purpose of this chapter is to establish the main result of this book, i.e., we give a Riemann-Roch-Grothendieck formula for the class \(\{\alpha_{g,t}\} \in H^{(=)}_{\rm{BC}}\) (S,C). When \({\bar\partial}^{M} {\partial^{M}} \omega^{M} = 0\), this result was already established in Theorem 5.2.1 using elliptic superconnections. The introduction in Chapter 9 of hypoelliptic superconnections did not allow us to eliminate this assumption.
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© 2013 Springer Basel
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Bismut, JM. (2013). Exotic superconnections and Riemann-Roch-Grothendieck. In: Hypoelliptic Laplacian and Bott–Chern Cohomology. Progress in Mathematics, vol 305. Birkhäuser, Heidelberg. https://doi.org/10.1007/978-3-319-00128-9_12
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DOI: https://doi.org/10.1007/978-3-319-00128-9_12
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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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