Constructs a symmetric monoidal ∞-category of sheaves whose unit is geometric cobordism and canonically identifies its endomorphisms with the E∞-Thom spectrum.
Six-functor Formalisms
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Sheaf categories are the unique six functor formalisms on LCH spaces satisfying natural properties, implying equivalence for continuous formalisms.
Develops derived categories on superstacks and uses transmutation stacks to prove results on D-modules and the isomorphism of de Rham and super de Rham cohomology.
E-theory categories for locally compact Hausdorff spaces and finite-open locales are equivalent to E-valued sheaves and cosheaves respectively.
citing papers explorer
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A homotopy coherent Pontryagin-Thom isomorphism
Constructs a symmetric monoidal ∞-category of sheaves whose unit is geometric cobordism and canonically identifies its endomorphisms with the E∞-Thom spectrum.
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A characterization of sheaves among six functor formalisms on $\mathrm{LCH}$
Sheaf categories are the unique six functor formalisms on LCH spaces satisfying natural properties, implying equivalence for continuous formalisms.
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Derived Geometric Methods in Supergeometry: Transmutations and their Cohomology
Develops derived categories on superstacks and uses transmutation stacks to prove results on D-modules and the isomorphism of de Rham and super de Rham cohomology.
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$E$-theory of $X$-$C^{*}$-algebras and functor formalisms
E-theory categories for locally compact Hausdorff spaces and finite-open locales are equivalent to E-valued sheaves and cosheaves respectively.