Derived character maps of group representations
DOI10.2140/agt.2024.24.4991MaRDI QIDQ6661613
Ajay C. Ramadoss, Yuri Yu. Berest
Publication date: 13 January 2025
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
cyclic homologyhomotopy colimitsimplicial groupGoodwillie calculusrepresentation varietysymmetric homologyDold-Thom space
Stable homotopy theory, spectra (55P42) (K)-theory and homology; cyclic homology and cohomology (19D55) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Other homology theories in algebraic topology (55N35) Functor categories, comma categories (18A25) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cohomology of polynomial functors on free groups
- Stable representation homology and Koszul duality
- Shifted symplectic structures
- Derived algebraic geometry
- On homotopy theory and c. s. s. groups
- Poisson geometry of the moduli of local systems on smooth varieties
- Rigidification of algebras over multi-sorted theories
- Homotopy nilpotent groups
- Cyclic homology and the Lie algebra homology of matrices
- Cyclic homology, derivations, and the free loopspace
- The cyclic groups and the free loop space
- Cyclic homology and algebraic K-theory of spaces. II
- Calculus. II: Analytic functors
- The invariant theory of \(n\times n\) matrices
- Calculus. III: Taylor series
- Hochschild and cyclic homology via functor homology
- Character varieties as a tensor product
- Equivalences of monoidal model categories
- Calculus. I: The first derivative of pseudoisotopy theory
- Injective resolutions of \(BG\) and derived moduli spaces of local systems
- Algebraic theories in homotopy theory
- Cohomological direct images in model categories
- Constructing derived moduli stacks
- Symmetric homology of algebras
- Homology operations in symmetric homology
- Homology of automorphism groups of free groups with polynomial coefficients.
- Rigidification of algebras over essentially algebraic~theories
- Dual Hodge decompositions and derived Poisson brackets
- Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism
- Vanishing theorems for representation homology and the derived cotangent complex
- Derived representation schemes and cyclic homology
- Rational homotopy theory
- The geometry of iterated loop spaces
- Homotopy limits, completions and localizations
- Hyperoctahedral homology for involutive algebras
- Homotopy theory of diagrams
- Character varieties
- Poincaré duality and commutative differential graded algebras
- Classifying Spaces of Topological Monoids and Categories
- Varieties of representations of finitely generated groups
- Crossed Simplicial Groups and their Associated Homology
- Higher algebraic K-theory: I
- Homotopy colimits in the category of small categories
- Extensions between functors from free groups
- Chern–Simons Forms and Higher Character Maps of Lie Representations
- Double homotopy (co)limits for relative categories
- The Derivatives of Homotopy Theory
- Hodge decomposition of string topology
- Representation Homology of Topological Spaces
- Goodwillie calculus
- From Categories to Homotopy Theory
- Décomposition de Hodge pour l’homologie stable des groupes d’automorphismes des groupes libres
- Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
- Free loop space and homology
- Homotopical algebraic geometry. II. Geometric stacks and applications
- Classifying Spaces and Infinite Symmetric Products
- Simplicial homotopy theory
- Representation homology of simply connected spaces
This page was built for publication: Derived character maps of group representations