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 universal charac- terization of higher algebraic K-theory
3 Pith papers cite this work. Polarity classification is still indexing.
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Introduces F-gauges over prisms, constructs syntomic cycle classes, and proves prismatic Poincaré duality for proper smooth schemes.
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.
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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.
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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.
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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.