Corpus ID: 214612432

# Simplicial Chern-Weil theory for coherent analytic sheaves, part I

@article{Hosgood2020SimplicialCT,
title={Simplicial Chern-Weil theory for coherent analytic sheaves, part I},
author={Timothy Hosgood},
journal={arXiv: Algebraic Geometry},
year={2020}
}
• Timothy Hosgood
• Published 2020
• Mathematics
• arXiv: Algebraic Geometry
• In "Chern classes for coherent sheaves", H.I. Green constructs Chern classes in de Rham cohomology of coherent analytic sheaves, but in a way that is directly amenable to being abstractified to give us a theory of simplicial connections, as well as a simplicial version of Chern-Weil theory. We construct here a formal $(\infty,1)$-categorical framework into which we can place Green's work, as well as a more general idea as to what exactly a simplicial connection should be. The result will be the… CONTINUE READING

## Simplicial Chern-Weil theory for coherent analytic sheaves, part I

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 42 REFERENCES

## Chern Classes of Coherent Analytic Sheaves: A Simplicial Approach

• Timothy Hosgood
• progress; available on demand. Université d’AixMarseille,
• 2020
VIEW 1 EXCERPT

## µ-MAR

• Computer Science
• 2015
VIEW 1 EXCERPT