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math.AT 2

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2026 2

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Homology manifolds via six functor formalisms

math.AT · 2026-06-30 · unverdicted · novelty 7.0

Using six functor formalisms, the authors prove that hypercomplete locally compact ANR homology manifolds are cohomologically smooth, that compact ANR homology manifolds are Poincaré duality complexes with Spivak tangent fibration as dualizing sheaf, introduce homotopy manifolds, and show that homot

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Showing 2 of 2 citing papers.

  • Homology manifolds via six functor formalisms math.AT · 2026-06-30 · unverdicted · none · ref 5

    Using six functor formalisms, the authors prove that hypercomplete locally compact ANR homology manifolds are cohomologically smooth, that compact ANR homology manifolds are Poincaré duality complexes with Spivak tangent fibration as dualizing sheaf, introduce homotopy manifolds, and show that homot

  • Chromatic Euler characteristics and duality for infinite groups math.AT · 2026-06-26 · unverdicted · none · ref 6

    Introduces chromatic Euler characteristics for infinite groups with finite proper action models and proves associated duality and vanishing results in equivariant spectra.