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