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math.AG2023
Simplicial presheaves of Green complexes and twisting cochains
Timothy Hosgood, Mahmoud Zeinalian
We construct three simplicial presheaves on the site of ringed spaces, and in particular on that of complex manifolds. The descent objects for these simplicial presheaves yield Tol…
math.AG2020★ 3 cited
Simplicial Chern-Weil theory for coherent analytic sheaves, part II
Timothy Hosgood
In the previous part of this diptych, we defined the notion of an admissible simplicial connection, as well as explaining how H.I. Green constructed a resolution of coherent analyt…
math.AG2020★ 4 cited
Simplicial Chern-Weil theory for coherent analytic sheaves, part I
Timothy Hosgood
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 -categorical…