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作者:Friedrich Martin Schneider
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.925-956MSP
摘要:We prove that, if $G$ is a second-countable topological group witha compatible right-invariant metric $d$ and $(\mu_{n})_{n \in\mathbb{N}}$ is a sequence of compactly supported Borel probabilitymeasures on $G$ converging to invariance with respect to the masstransportation distan...
作者:Nils Carqueville , Ingo Runkel , Gregor Schaumann
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.781-864MSP
摘要:We introduce the notion of $n$--dimensional topological quantum field theory(TQFT) with defects as a symmetric monoidal functor on decorated stratifiedbordisms of dimension~$n$.The familiar closed or open--closed TQFTs are special cases of defect TQFTs,and for $n=2$ and $n=3$ our...
作者:Gavin Ball , Goncalo Oliveira
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.685-743MSP
摘要:For gauge groups $U(1)$ and $\operatorname{SO}(3)$ we classify invariant$G_2\mkern-1.5mu$--instantons for homogeneous coclosed $G_2\mkern-1.5mu$--structures onAloff--Wallach spaces $X_{k,l}$. As a consequence, we give exampleswhere $G_2\mkern-1.5mu$--instantons can be used to dis...
作者:Akhil Mathew , Niko Naumann , Justin Noel
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.541-636MSP
摘要:Let $G$ be a finite group. To any family $\mathscr{F}$ of subgroups of$G\!$, weassociate a thick $\otimes$--ideal $\mathscr{F}^{\operatorname{Nil}}$ of the category of$G$--spectrawith the property that every $G$--spectrum in $\mathscr{F}^{\operatorname{Nil}}$ (which we call$\math...
作者:Andreas Savas-Halilaj , Knut Smoczyk
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.1057-1084MSP
摘要:It is shown that an equivariant Lagrangian sphere with a positivitycondition on its Ricci curvature develops a type-II singularity underthe Lagrangian mean curvature flow that rescales to the product ofa grim reaper with a flat Lagrangian subspace. In particular thisresult applie...
作者:Lukas Lewark , Andrew Lobb
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.745-780MSP
摘要:We construct smooth concordance invariants of knots $K$ which take theform of piecewise linear maps $\gimel_n(K) \co [0,1] \rightarrow \R$ for $n\geq 2$. These invariants arise from $\mathfrak{sl}_n$ knot cohomology. We verifysome properties which are analogous to those of the in...
作者:Irving Dai , Matthew Stoffregen
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.865-924MSP
摘要:We establish a structural understanding of the involutive HeegaardFloer homology for all linear combinations of almost-rational(AR) plumbed three-manifolds. We use this to show that theNeumann--Siebenmann invariant is a homology cobordism invariant for alllinear combinations of A...
作者:Daniel Mathews
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.637-683MSP
摘要:We demonstrate an isomorphism between the homology of the strandalgebra of bordered Floer homology, and the category algebra of thecontact category introduced by Honda. This isomorphism provides adirect correspondence between various notions of Floer homology andarc diagrams, on ...
作者:Mark McLean
来源:[J].Geometry & Topology(IF 0.974), 2019, Vol.23 (2), pp.957-1056MSP
摘要:Let $f$ be a polynomial over the complex numbers with an isolated singularityat $0$.We show that the multiplicity and the log canonical threshold of $f$ at $0$are invariants of the link of $f$ viewed as a contact submanifold ofthe sphere.This is done by first constructing a spect...
作者:Shmuel Vigdergauz , Isaac Elishakoff
来源:[J].Journal of Mechanics of Materials and Structures(IF 0.46), 2019, Vol.14 (1), pp.139-154MSP
摘要:A single hole in an infinite elastic plate is used as the simplestsetup to find the hole shape which induces the maximum energy incrementin a homogeneous stress field given at infinity. In order to avoidthe energy unboundedness trivially caused by jagged shapes with anarbitrarily...

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