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Equivariant noncommutative motives
作者：Gonçalo Tabuada
来源：[J].Annals of K-Theory, 2017, Vol.3 (1), pp.125-156MSP
摘要：Given a finite group $\operatorname{G}$, we develop a theory of $\operatorname{G}$-equivariantnoncommutative motives. This theory provides a well-adapted framework forthe study of $\operatorname{G}$-schemes, Picard groups of schemes, $\operatorname{G}$-algebras,$2$-cocycles, $\op...
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    Cohomologie non ramifiée de degré 3 :variétés cellulaires et surfaces de del Pezzo de degré au moins 5
    作者：Yang Cao
    来源：[J].Annals of K-Theory, 2017, Vol.3 (1), pp.157-171MSP
    摘要：\selectlanguage{french}Dans cet article, o\`u le corps de base est un corpsde caract\'eristique z\'ero quelconque, pour $X$une vari\'et\'e g\'eom\'etriquement cellulaire, on \'etudiele quotientdu troisi\`eme groupe de cohomologie non ramifi\'ee$H^3_{\operatorname{nr}}(X,\mathbb{Q...
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      Abstract tilting theory for quivers and related categories
      作者：Moritz Groth , Jan Šťovíček
      来源：[J].Annals of K-Theory, 2017, Vol.3 (1), pp.71-124MSP
      摘要：\vspace*{-2pt}We generalize the construction of reflection functors from classicalrepresentation theory of quivers to arbitrary small categories with freelyattached sinks or sources. These reflection morphisms are shown to induceequivalences between the corresponding representati...
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        Suslin’s moving lemma with modulus
        作者：Wataru Kai , Hiroyasu Miyazaki
        来源：[J].Annals of K-Theory, 2017, Vol.3 (1), pp.55-70MSP
        摘要：The moving lemma of Suslin (also known as the generic equidimensionalitytheorem) states that a cycle on $X\times \mathbb{A}^n$ meeting allfaces properly can be moved so that it becomes equidimensional over$\mathbb{A}^n$. This leads to an isomorphism of motivic Borel--Moorehomolog...
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          Hochschild homology, lax codescent, and duplicial structure
          作者：Richard Garner , Stephen Lack , Paul Slevin
          来源：[J].Annals of K-Theory, 2017, Vol.3 (1), pp.1-31MSP
          摘要：We study the duplicial objects of Dwyer and Kan, which generalize the cyclicobjects of Connes. We describe duplicial objects in terms of the decalagecomonads, and we give a conceptual account of the construction of duplicialobjects due to B\"ohm and \c{S}tefan.This is done in ter...
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            Localization, Whitehead groups and the Atiyah conjecture
            作者：Wolfgang Lück , Peter Linnell
            来源：[J].Annals of K-Theory, 2017, Vol.3 (1), pp.33-53MSP
            摘要：\advance\leftskip-3pt\advance\rightskip-3ptLet $K_1^w(\mathbb{Z} G)$ be the $K_1$-group of square matrices over $\mathbb{Z} G$which are notnecessarily invertible but induce weak isomorphisms after passing toHilbert spacecompletions. Let $\mathcal{D}(G;\mathbb{Q})$ be the division...
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              Independence of satellites of torus knots in the smooth concordance group
              作者：Juanita Pinzón-Caicedo
              来源：[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (6), pp.3191-3211MSP
              摘要：The main goal of this article is to obtain a conditionunder which an infinite collection $\mathscr{F}$ of satellite knots (withcompanion a positive torus knot and pattern similar to the Whitehead link)freely generates a subgroup of infinite rank in the smooth concordancegroup. Th...
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                Boundaries and automorphisms of hierarchically hyperbolic spaces
                作者：Matthew Durham , Mark Hagen , Alessandro Sisto
                来源：[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (6), pp.3659-3758MSP
                摘要：Hierarchically hyperbolic spaces provide a common framework for studyingmapping class groups of finite-type surfaces, Teichm\"uller space,right-angled Artin groups, and many other cubical groups. Given such aspace $\mathcal X$, we build a bordification of $\mathcal X$ compatible ...
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                  Thurston norm via Fox calculus
                  作者：Stefan Friedl , Kevin Schreve , Stephan Tillmann
                  来源：[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (6), pp.3759-3784MSP
                  摘要：In 1976 Thurston associated to a $3$--manifold $N$ a marked polytopein $H_1(N;\R)$, which measures the minimal complexity of surfacesrepresenting homology classes and determines all fibered classes in$H^1(N;\R)$.Recently the first andthird authors associated to a presentation $\p...
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                    C0 approximations of foliations
                    作者：William Kazez , Rachel Roberts
                    来源：[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (6), pp.3601-3657MSP
                    摘要：Suppose that $\mathcal F$ is a transversely oriented, codimension-onefoliation of a connected, closed, oriented $3$--manifold. Suppose alsothat $\mathcal F$ has continuous tangent plane field and is {\it taut\/};that is, closed smooth transversals to $\mathcal F$ pass throughever...
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