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Geometry & topology, ISSN 1465-3060, 2019, Volume 23, Issue 2, pp. 541 - 636
.... A similar result holds for calculating G-equivariant homotopy classes of maps into such spectra via an appropriate homotopy limit spectral sequence... 
MATHEMATICS | LOCALIZATION | TATE COHOMOLOGY | EXTENSIONS | MACKEY FUNCTORS | EQUIVARIANT STABLE-HOMOTOPY | RING | K-THEORY | NILPOTENCY | HOMOLOGY | CLASSIFYING-SPACES
Journal Article
Journal of K-Theory, ISSN 1865-2433, 06/2014, Volume 13, Issue 3, pp. 563 - 599
.... The aim of this paper is to construct two spectral sequences for calculating these homology groups and to treat some concrete classes of examples such as Hochschild cochains, graded polynomial... 
Hodge decomposition | Hochschild cohomology | Grothendieck spectral sequence | André-Quillen homology | En-homology | II-Algebras | E n -homology | Algebras | MATHEMATICS | Andre-Quillen homology | Pi-Algebras | COHOMOLOGY | LIE ALGEBRAS | SPACES | E-n-homology | HOPF ALGEBRAS
Journal Article
Topology and its applications, ISSN 0166-8641, 2019, Volume 267, p. 106901
... of a differential graded associative algebra. We also show that formality of a differential graded Lie algebra is not equivalent to the collapse of its associated Quillen spectral sequence. Finally, we use L... 
Rational homotopy theory | [formula omitted]-algebra | Higher order Whitehead products | Coformality | Quillen spectral sequence | MATHEMATICS | MATHEMATICS, APPLIED | MODELS | PRODUCTS | SPACES | L-infinity-algebra | HOMOTOPY-THEORY
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2007, Volume 215, Issue 1, pp. 250 - 262
Relying on the computation of the André–Quillen homology groups for unstable Hopf algebras, we prove that if the mod p cohomology of both the fiber and the... 
H-space | Eilenberg–Moore spectral sequence | Steenrod algebra | Fibrations | André–Quillen homology | André-Quillen homology | Eilenberg-Moore spectral sequence | MATHEMATICS | Andre-Quillen homology | LOCALIZATION | ALGEBRAS | THEOREM | SULLIVAN | fibrations | HOMOLOGY | CLASSIFYING-SPACES
Journal Article
by Liu, Bo
Journal of Noncommutative Geometry, ISSN 1661-6952, 2017, Volume 11, Issue 1, pp. 225 - 307
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2004, Volume 356, Issue 2, pp. 757 - 803
We construct a Taylor tower for functors from pointed categories to abelian categories via cotriples associated to cross effect functors. The tower was... 
Towers | Algebra | Maps | Adjoints | Chain rule | Functors | Mathematics | Mathematical rings | Calculus | Algebraic topology | MATHEMATICS | FUNCTORS | SPECTRAL SEQUENCE | ANDRE-QUILLEN HOMOLOGY | STABILIZATION
Journal Article
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, ISSN 2193-8407, 2008, Volume 3, Issue 1, pp. 161 - 191
We explain how the approach of Andre and Quillen to defining cohomology and homology as suitable derived functors extends to generalized (co)homology theories,... 
MATHEMATICS | generalized (co)homology | homotopical algebra | Andre-Quillen cohomology | spectral sequences | ALGEBRA | algebras and theories | HOMOTOPY | BROWN REPRESENTABILITY | CATEGORIES
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2019, Volume 341, pp. 118 - 187
.... Topological Quillen homology, or TQ-homology, is the spectral algebra analog of Quillen homology and stabilization... 
Homotopical descent | Symmetric spectra | Structured ring spectra | Operads | LOCALIZATION | ANDRE-QUILLEN COHOMOLOGY | SPACES | STABLE-HOMOTOPY | CALCULUS | MODEL CATEGORIES | PERIODIC HOMOLOGY | MATHEMATICS | MODULES | SEQUENCE | BAR CONSTRUCTIONS
Journal Article
Topology, ISSN 0040-9383, 2005, Volume 44, Issue 6, pp. 1159 - 1179
Journal Article
Geometry and Topology, ISSN 1465-3060, 06/2013, Volume 17, Issue 3, pp. 1325 - 1416
Working in the context of symmetric spectra, we describe and study a homotopy completion tower for algebras and left modules over operads in the category of... 
MATHEMATICS | SYMMETRIC SPECTRA | PLUS-CONSTRUCTION | LOCALIZATION | MODULES | COHOMOLOGY | STABLE-HOMOTOPY | CALCULUS | MODEL CATEGORIES | COMMUTATIVE S-ALGEBRAS | CONJECTURE | Mathematics - Algebraic Topology
Journal Article
Mathematical Physics, Analysis and Geometry, ISSN 1385-0172, 6/2017, Volume 20, Issue 2, pp. 1 - 20
We compute the curvature of the determinant line bundle on a family of Dirac operators for a noncommutative two torus. Following Quillen’s original... 
Geometry | Determinant line bundle | Quillen’s metric | Canonical trace | 58B34 | Theoretical, Mathematical and Computational Physics | Analysis | Noncommutative two torus | Group Theory and Generalizations | Applications of Mathematics | Physics | 46L87 | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | OPERATORS | 2-TORI | Quillen's metric | GEOMETRY | Algebra
Journal Article
Topology, ISSN 0040-9383, 2001, Volume 40, Issue 5, pp. 993 - 1016
Journal Article
A K-teoria algébrica é um ramo da álgebra que associa para cada anel com unidade R, uma sequência de grupos abelianos chamados os n-ésimos K-grupos de R. Em... 
Spectral sequences | K-teoria algébrica | Sequências espectrais | Bloch-Wigner exact sequence | Quillen's K-groups | Algebraic K-theory | K-grupos de Quillen | Sequência exata de Bloch-Wigner
Dissertation
K-Theory, ISSN 0920-3036, 05/1993, Volume 7, Issue 3, pp. 269 - 284
Journal Article
1998, 2nd ed., Grundlehren der mathematischen Wissenschaften, ISBN 3540630740, Volume 301., xviii, 513
Book
Algebraic and Geometric Topology, ISSN 1472-2747, 11/2014, Volume 14, Issue 5, pp. 3021 - 3048
.... We discuss applications of these resolutions to spectral sequences for derived completions and Goodwillie calculus in general model categories. 
MATHEMATICS | RING SPECTRA | FUNCTORS | HOMOLOGY | MODEL CATEGORIES
Journal Article
Homology, Homotopy and Applications, ISSN 1532-0073, 2015, Volume 17, Issue 1, pp. 67 - 109
This paper aims to answer the following question: Given an adjunction between two categories, how is Quillen (co)homology in one category related to that in... 
Adjunction | Quillen | Comparison | Model structure | Homology | Cohomology | Simplicial | MATHEMATICS | MATHEMATICS, APPLIED | homology | comparison | adjunction | cohomology | SIMPLICIAL COMMUTATIVE ALGEBRAS | simplicial | model structure | HOMOTOPY OPERATIONS
Journal Article
Advances in mathematics (New York. 1965), ISSN 0001-8708, 2006, Volume 201, Issue 2, pp. 318 - 378
Let K ( n ) be the n th Morava K -theory at a prime p, and let T ( n ) be the telescope of a v n -self map of a finite complex of type n. In this paper we... 
Goodwillie tower | Morava k-theory | Periodic homotopy | Infinite loop space | Topological Andre Quillen Homology | STABLE-HOMOTOPY THEORY | COMPLEX | UNIQUENESS | Goodwillic tower | MATHEMATICS | periodic homotopy | COHOMOLOGY | RING | EQUIVALENCES | infinite loop spaced | SPECTRA | LOOP-SPACES | MORAVA K-THEORIES
Journal Article
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