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作者:David Nadler
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.1231-1274MSP
摘要:We introduce a class of combinatorial singularities of Lagrangian skeletaof symplectic manifolds. The link of each singularity is a finite regularcell complex homotopy equivalent to a bouquet of spheres. It is determinedby its faceposet, whichis naturally constructed starting fro...
作者:Thomas Church , Andrew Putman
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.999-1032MSP
摘要:We prove that $\operatorname{H}^{\binom{n}{2}-1}(\operatorname{SL}_n\, \Z;\Q) = 0$, where$\binom{n}{2}$ is the cohomological dimensionof $\operatorname{SL}_n\, \Z$, and similarly for $\operatorname{GL}_n\, \Z$. We also prove analogousvanishing theoremsfor cohomology with coeffici...
作者:Jonathan Pridham
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.841-902MSP
摘要:The proalgebraic fundamental group can be understood as a completionwith respect to finite-dimensional noncommutative algebras. Weintroduce finer invariants by looking at completions with respectto Banach and $C^*$--algebras, from which we can recover analytic andtopological repr...
作者:Iván Sadofschi Costa
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.1275-1283MSP
摘要:We prove that there exists a compact two-dimensional polyhedron withthe fixed point property and even Euler characteristic. This answers aquestion posed by R\,H Bing in~1969. We also settle a second questionby Bing regarding the homotopy invariance of the fixed point propertyin l...
作者:François Guéritaud , Fanny Kassel
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.693-840MSP
摘要:Let $\Gamma_{\!0}$ be a discrete group.For a pair $(j,\rho)$ of representations of $\Gamma_{\!0}$ into$\operatorname{PO}(n,1)=\operatorname{Isom}(\mathbb{H}^n)$ with $j$ geometrically finite, we study theset of $(j,\rho)$--equivariant Lipschitz maps from the real hyperbolicspace~...
作者:Maria Donten-Bury , Bert van Geemen , Grzegorz Kapustka ...
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.1179-1230MSP
摘要:We show that the Hilbert scheme of two points on the Vinberg $\operatorname K3$ surfacehas a two-to-onemap onto avery symmetric EPW sextic $Y$ in ${\mathbb P}^5$.The fourfold $Y$ is singular along $60$~planes, $20$ of which form a completefamily of incident planes.This solves a p...
作者:Mahan Mj , Caroline Series
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.647-692MSP
摘要:We show that for a strongly convergent sequence of purely loxodromicfinitely generated Kleinian groups with incompressible ends,Cannon--Thurston maps, viewed as maps from a fixed base limit set tothe Riemann sphere, converge uniformly.For algebraically convergent sequences, we sh...
作者:Dan Coman , Xiaonan Ma , George Marinescu
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.923-962MSP
摘要:We study the asymptotics of Fubini--Study currents andzeros of random holomorphic sections associated toa sequence of singular Hermitian line bundles on acompact normal K\"ahler complex space.
作者:Emmanuel Giroux , John Pardon
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.963-997MSP
摘要:We show that every Stein or Weinstein domain may be presented (up todeformation) as a Lefschetz fibration over the disk. The proof is anapplicationof Donaldson's quantitative transversality techniques.
作者:Ruth Charney , Nathaniel Stambaugh , Karen Vogtmann
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.21 (2), pp.1131-1178MSP
摘要:For a right-angled Artin group $\operatorname{A}_\Gamma$, the untwistedouter automorphism group $\operatorname{U}(\operatorname{A}_\Gamma)$ is the subgroup of $\operatorname{Out}(\operatorname{A}_\Gamma)$ generatedby all of the Laurence--Servatius generators except twists (wherea...

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