作者：Ismaël Soudères 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.635-685MSP 摘要：We prove the Beilinson--Soul\'e vanishingconjecture formotives attached to the moduli spaces $\mathcal{M}_{0,n}$ of curves of genus$0$ with$n$ marked points. As part of the proof, we also show that thesemotives aremixed Tate. As a consequence of Levine's work, we thus obtain awel...
 作者：Kohei Tanaka 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.779-796MSP 摘要：This paper presents a discrete analog of topological complexityfor finite spaces using purely combinatorial terms. We demonstratethat this coincides with the genuine topological complexity ofthe original finite space. Furthermore, we study therelationship withsimplicial complexit...
 作者：Shengkui Ye 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.1195-1204MSP 摘要：Let $M^{r}$ be a connected orientable manifold with the Eulercharacteristic$\chi(M)\not \equiv 0\operatorname{mod}6$. Denote by$\operatorname{SAut}(F_{n})$the unique subgroup of index two in the automorphism group of a freegroup.Then any group action of $\operatorname{SAut}(F_{n}...  作者：Andrew Blumberg , Michael Hill 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.723-766MSP 摘要：For a genuine'' equivariant commutative ring spectrum$R$,$\pi_0(R)$admits a rich algebraic structure known as a Tambarafunctor. This algebraic structure mirrors the structure on$R$arising from the existence of multiplicative norm maps. Motivated bythe surprising fact that Bo...  作者：Jens Hornbostel 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.1257-1258MSP 摘要：We correct a claim concerningmotivic$S^1$--deloopings.  作者：Bernhard Hanke , Peter Quast 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.877-895MSP 摘要：$\Gamma\mkern-1.5mu$--structures are weak forms of multiplications on closedoriented manifolds. As wasshown by Hopf the rational cohomologyalgebras ofmanifolds admitting$\Gamma\mkern-1.5mu$--structures are free over odd-degreegenerators.We prove that this condition is also suffi...  作者：Melissa Zhang 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.1147-1194MSP 摘要：For a$2\!$--periodic link$\tilde L$in the thickened annulus and itsquotient link$L$, we exhibit a spectral sequence with\[E^1 \cong \operatorname{AKh}(\tilde L) \otimes_{\mathbb{F}} \mathbb{F}[\theta, \theta^{-1}]\rightrightarrows E^\infty \cong \operatorname{AKh}(L)\otimes_{...  作者：Simon Gritschacher 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.1205-1249MSP 摘要：We study commutative complex$K$--theory, a generalised cohomologytheory built from spaces of ordered commuting tuples in the unitarygroups. We show that the spectrum for commutative complex$K$--theory isstably equivalent to the$k\mkern-1.5mu u$--group ring of$B\mkern-2mu U(1)...
 作者：Nancy Guelman , Cristóbal Rivas 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.1067-1076MSP 摘要：Weshow that if $G$ is a solvable group acting on the lineand if there is $T\in G$ having no fixed points, then there is a Radonmeasure $\mu$ on the line quasi-invariant under~$G\!$. In fact, our methodallows for the same conclusion for $G$ inside a class of groups that isclosed u...
 作者：Matthew Young 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (2), pp.975-1039MSP 摘要：We introduce a relative version of the $2\mskip-1.5mu$--Segal simplicial spacesdefined by Dyckerhoff and Kapranov, and G\'{a}lvez-Carrillo, Kock andTonks. Examples of relative $2\mskip-1.5mu$--Segal spaces include the categorifiedunoriented cyclic nerve, real pseudoholomorphic po...