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- W4382489097 abstract "In Chern classes for coherent sheaves, H.I. Green constructs Chern classes in de Rham cohomology of coherent analytic sheaves. We construct here a formal $(infty,1)$-categorical framework into which we can place Green's work and generalise it, also obtaining a better idea as to what exactly a simplicial connection should be. The result will be the ability to work with generalised invariant polynomials (which will be introduced in the sequel to this paper) evaluated at the curvature of so-called admissible simplicial connections to get explicit v{C}ech representatives in de Rham cohomology of characteristic classes of coherent analytic sheaves." @default.
- W4382489097 created "2023-06-29" @default.
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- W4382489097 date "2023-06-16" @default.
- W4382489097 modified "2023-10-18" @default.
- W4382489097 title "Simplicial Chern-Weil theory for coherent analytic sheaves, part I" @default.
- W4382489097 doi "https://doi.org/10.24033/bsmf.2866" @default.
- W4382489097 hasPublicationYear "2023" @default.
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