Abstract
In this chapter, we construct hypoelliptic superconnection forms \(\alpha_{g,b,t}, b > 0 , t > 0\) that are associated with the hypoelliptic superconnections of Section 6, and we prove that their class in \(H^{(=)}_{\rm{BC}}\) (S,C) does not depend on b, t, and coincides with the class of the elliptic superconnection forms \(\{\alpha_{g,t}\}\).
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© 2013 Springer Basel
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Bismut, JM. (2013). The hypoelliptic superconnection forms. In: Hypoelliptic Laplacian and Bott–Chern Cohomology. Progress in Mathematics, vol 305. Birkhäuser, Heidelberg. https://doi.org/10.1007/978-3-319-00128-9_8
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DOI: https://doi.org/10.1007/978-3-319-00128-9_8
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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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