On a conjecture of kashiwara relating chern and euler classes of o-modules

Julien Grivaux Universit´e de Provence

Differential Geometry mathscidoc:1609.10252

Journal of Differential Geometry, 90, (2), 267-275, 2012
In this note we prove a conjecture of Kashiwara, which states that the Euler class of a coherent analytic sheaf F on a complex manifold X is the product of the Chern character of F with the Todd class of X. As a corollary, we obtain a functorial proof of the Grothendieck–Riemann–Roch theorem in Hodge cohomology for complex manifolds.
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@inproceedings{julien2012on,
  title={ON A CONJECTURE OF KASHIWARA RELATING CHERN AND EULER CLASSES OF O-MODULES},
  author={Julien Grivaux},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160913223544568223914},
  booktitle={Journal of Differential Geometry},
  volume={90},
  number={2},
  pages={267-275},
  year={2012},
}
Julien Grivaux. ON A CONJECTURE OF KASHIWARA RELATING CHERN AND EULER CLASSES OF O-MODULES. 2012. Vol. 90. In Journal of Differential Geometry. pp.267-275. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160913223544568223914.
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