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

指派

Kangjian Shao,Yujin Wu,Ning Wang,Hongde QinWe prove that the infinite-dimensional elliptic superconnection forms of the previous chapter represent the Chern character of the direct image.

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dainty

Zhicheng Gao,Qiang Ding,Xudong ZhaoWe 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.

chassis

Michael Zoumboulakis,George RoussosWe give another proof of the Riemann-Roch-Grothendieck theorem for submersions using the hypoelliptic superconnection forms when ..

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Bott-Chern cohomology and characteristic classes,We recall the basic properties of Bott-Chern cohomology of compact complex manifolds, and we explain the construction of characteristic classes of holomorphic vector bundles with values in Bott-Chern cohomology.

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brachial-plexus

The antiholomorphic superconnections of Block,We recall the definition of the antiholomorphic superconnections of Block, and we study their functorial properties. We prove that the associated sheaf cohomology is coherent, and we show that the corresponding determinant is a holomorphic line bundle.