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Titlebook: Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck; Jean-Michel Bismut,Shu Shen,Zhaoting Wei Book 2023 The Editor(s) (if ap

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An equivalence of categories,We prove a result of Block, that gives an equivalence of categories between the homotopy category of antiholomorphic superconnections on . and the derived category ..
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A proof of Theorem 10.1.1 when ,In the context of the previous two chapters, we prove the Riemann-Roch-Grothendieck theorem for submersions when ..
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The hypoelliptic superconnection forms,We construct the superconnection forms on . that are associated with the hypoelliptic superconnections of the previous chapter. We prove that their Bott-Chern class is the same as the class of the elliptic superconnection forms.
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