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... |
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