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On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics

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Abstract

In this article, we introduce the notion of admissible vector bundles and we extend Bott–Chern secondary characteristic classes to this new class of singular hermitian vector bundles. We give some applications to complex geometry and Quillen metric theory.

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Acknowledgements

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

The corresponding author states that there is no conflict of interest.

The author wishes to express his thanks to the referee for several helpful comments concerning the paper.

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  1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, People’s Republic of China

    Mounir Hajli

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  1. Mounir Hajli
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Correspondence to Mounir Hajli.

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Hajli, M. On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics. manuscripta math. 173, 831–846 (2024). https://doi.org/10.1007/s00229-023-01475-6

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