Bredon sheaf cohomology computes algebraic K-theory of equivariant sheaves and equivariant E-theory of function algebras on G-spaces while satisfying a strong uniqueness theorem via open descent and compact codescent.
A uni- versal characterization of higher algebraic K-theory
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
verdicts
UNVERDICTED 6representative citing papers
Introduces F-gauges over prisms, constructs syntomic cycle classes, and proves prismatic Poincaré duality for proper smooth schemes.
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
An explicit A_infinity description of the Hochschild homology transfer yields a rational model for the Becker-Gottlieb transfer and proves vanishing of certain rational characteristic classes for manifold bundles while modeling fiberwise THH-simple structures.
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.
citing papers explorer
-
Bredon sheaf cohomology
Bredon sheaf cohomology computes algebraic K-theory of equivariant sheaves and equivariant E-theory of function algebras on G-spaces while satisfying a strong uniqueness theorem via open descent and compact codescent.
-
Syntomic cycle classes and prismatic Poincar\'e duality
Introduces F-gauges over prisms, constructs syntomic cycle classes, and proves prismatic Poincaré duality for proper smooth schemes.
-
Structured Quotients in Real Homotopy Theory
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
-
On the Schematic and Analytic Constructions of the Local Langlands Category
Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.
-
A rational model for the fiberwise THH transfer II: $A_\infty$-algebras
An explicit A_infinity description of the Hochschild homology transfer yields a rational model for the Becker-Gottlieb transfer and proves vanishing of certain rational characteristic classes for manifold bundles while modeling fiberwise THH-simple structures.
-
Structured Real Snaith Equivalences
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.