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On Equivalences of Derived Exponential Functors

math.AT · 2026-07-08 · accept · novelty 7.0

The Dold-Puppe-Thom isomorphism H_*(K(A,n);Z) ≅ L_*Sym(A[n]) is functorial in A for n ≥ 2, and LF for coconnected complexes depends only on the augmented coalgebra F(Z).

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  • On Equivalences of Derived Exponential Functors math.AT · 2026-07-08 · accept · none · ref 18

    The Dold-Puppe-Thom isomorphism H_*(K(A,n);Z) ≅ L_*Sym(A[n]) is functorial in A for n ≥ 2, and LF for coconnected complexes depends only on the augmented coalgebra F(Z).

  • Local-global compatibility at $p\neq\ell$ for torsion automorphic forms math.NT · 2026-06-30 · unverdicted · none · ref 52

    Proves local-global compatibility at p ≠ ℓ for Scholze's automorphic group determinants, generalizing Varma's result to torsion classes in Betti cohomology via p-adic GL representations with Z_ℓ coefficients.