Bredon-style homology and cohomology for algebraic stacks (original) (raw)

Bredon-style homology, cohomology and Riemann–Roch for algebraic stacks

Roy Joshua

Advances in Mathematics, 2007

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Riemann–Roch for Algebraic Stacks: I

Roy Joshua

Compositio Mathematica, 2003

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Homotopical algebraic geometry. II. Geometric stacks and applications

Gabriele Vezzosi

Memoirs of the American Mathematical Society, 2008

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K-Theory and G-Theory of DG-stacks

Roy Joshua

Contemporary Mathematics, 2012

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Sheaf theory for stacks in manifolds and twisted cohomology for S¹–gerbes

Thomas Schick

Algebraic & Geometric Topology, 2007

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Geometricity for derived categories of algebraic stacks

Valery Lunts

Selecta Mathematica, 2016

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Cohomology for Generalized Bredon Coefficient Systems and Higher K-Theory

Aderemi Kuku

Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology, 2013

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Motivic Homotopy Theory of Algebraic Stacks

Chirantan Chowdhury

2021

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Bredon Cohomology, K theory and K homology of Pullbacks of groups

Mario Velásquez

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Cohomology with coefficients in stacks of Picard categories

Teimuraz Pirashvili

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Cohomology with coefficients in stacks of abelian 2-groups

Teimuraz Pirashvili

Journal of Pure and Applied Algebra, 2012

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Deformation theory of representable morphisms of algebraic stacks

Martin Olson

Mathematische Zeitschrift, 2006

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Twisted K-theory of differentiable stacks

Camille Laurent-Gengoux

Annales Scientifiques de l’École Normale Supérieure, 2004

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Riemann-Roch and topologicalK-theory for singular varieties

Robert Macpherson

Acta Mathematica, 1979

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The integrality conjecture and the cohomology of preprojective stacks

Ben Davison

arXiv: Algebraic Geometry, 2016

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Extensions of Picard stacks and their homological interpretation

Cristiana Bertolin

Journal of Algebra, 2011

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Cohomology of algebraic theories

Teimuraz Pirashvili

Journal of Algebra, 1991

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A functorial formalism for quasi-coherent sheaves on a geometric stack

Marta Pérez Rodríguez, Alonso Tarrío, Maria Vale

Expositiones Mathematicae, 2015

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Sheaves on Artin stacks

Martin Olson

Journal für die reine und angewandte Mathematik (Crelles Journal), 2007

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The six operations for sheaves on Artin stacks I: Finite coefficients

YVes Laszlo

Publications Mathematiques De L Ihes, 2008

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Quillen cohomology and Baues-Wirsching cohomology of algebraic theories

Teimuraz Pirashvili

2006

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From Sheaf Cohomology to the Algebraic de Rham Theorem

Loring Tu

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Gerbes and Brauer groups over stacks

Cristiana Bertolin

2017

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Mixed Weil cohomologies

Frédéric Déglise

2007

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Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry

Jean Gallier

Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry, 2022

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Chern Character, Loop Spaces and Derived Algebraic Geometry

Gabriele Vezzosi

Algebraic Topology, 2009

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The spectral sequence relating algebraic K-theory to motivic cohomology

Khadija Azi

Annales scientifiques de l'Ecole normale …, 2002

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A note on Chern character, loop spaces and derived algebraic geometry

Gabriele Vezzosi

Eprint Arxiv 0804 1274, 2008

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A geometric description of differential cohomology

Thomas Schick

Annales mathématiques Blaise Pascal, 2010

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