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作者:Tom Harris , Bernhard Köck , Lenny Taelman
来源:[J].Annals of K-Theory, 2017, Vol.2 (3), pp.409-450MSP
摘要:We use Grayson's binary multicomplex presentation of algebraic$K$-theory to give a new construction of exteriorpower operations on the higher $K$-groups of a (quasicompact) scheme.We show that these operations satisfy the axioms of a $\lambda$-ring,including the product and compo...
作者:Dave Benson , Srikanth Iyengar , Henning Krause ...
来源:[J].Annals of K-Theory, 2017, Vol.2 (3), pp.387-408MSP
摘要:\advance\leftskip-3pt\advance\rightskip-3ptThe Hom closed colocalising subcategories of the stable modulecategory of a finite group scheme are classified. This complementsthe classification of the tensor closed localising subcategories inour previous work. Both classifications in...
作者:Jeremy Jacobson
来源:[J].Annals of K-Theory, 2017, Vol.2 (3), pp.357-385MSP
摘要:Let $A$ be a local ring in which 2 is invertible. It is known that the localizationofthe cohomology ring $H^{*}_{\text{\'{e}t}}(A,\mathbb Z/2)$ with respect to theclass $(-1)\in H^{1}_{\text{\'{e}t}}(A, \mathbb Z/2)$ is isomorphic to the ring$\operatorname{C}(\operatorname{sper} ...
作者:Rémi Coulon , Arnaud Hilion
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.1969-2014MSP
摘要:We prove that an outer automorphism of the free group isexponentially growing if and only if it induces an outerautomorphism of infinite order of free Burnside groups withsufficiently large odd exponent.
作者:Michael Kapovich , John Millson
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.1931-1968MSP
摘要:We prove universality theorems (``Murphy's laws'') for representation varietiesof fundamental groups of closed $3$--dimensional manifolds. We show that germsof~$\mathop{\operatorname{SL}}(2)$--representation schemes of such groups are essentially the sameas germs of schemes over ...
作者:Jiaming Chen , Eduard Looijenga
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.2231-2241MSP
摘要:Charney and Lee have shown that the rationalcohomology of theSatake--Baily--Borelcompactification $\mathcal{A}_g^{\operatorname{bb}}$of $\mathcal{A}_g$ stabilizes as $g\to\infty$ and they computed thisstable cohomology as a Hopf algebra. We give a relatively simplealgebrogeometri...
作者:Bohan Fang , Chiu-Chu Liu , Zhengyu Zong
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.2049-2092MSP
摘要:We study the equivariantly perturbed mirror Landau--Ginzburg modelof $\mathbb{P}^1$. We show that the Eynard--Orantin recursion on thismodel encodes all-genus, all-descendants equivariant Gromov--Witteninvariants of $\mathbb{P}^1$. The nonequivariant limit of this result isthe No...
作者:Jingyin Huang
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.2281-2352MSP
摘要:We show that every $n$--quasiflat in an $n$--dimensional $\operatorname{CAT}(0)$cube complex is at finite Hausdorff distance from a finite union of$n$--dimensional orthants. Then we introduce a class of cube complexes,called {\em weakly special} cube complexes, and show that quas...
作者:Antonio Di Scala , Naohiko Kasuya , Daniele Zuddas
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.2461-2473MSP
摘要:We construct the first examples of non-K\"ahler complex structures on$\mathbb{R}^4$. Thesecomplex surfaces have some analogies with the complexstructures constructed in theearly fifties by Calabi and Eckmann on theproducts of two odd-dimensional spheres. However, our construction...
作者:Gye-Seon Lee , Tengren Zhang
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (4), pp.2243-2280MSP
摘要:There is a classical result known as the collar lemma for hyperbolicsurfaces. A consequence of the collar lemma is that if two closedcurves $A$ and $B$ on a closed orientable hyperbolizable surface intersecteach other, then there is an explicit lower bound for the lengthof $A$ in...

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