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Equivariant concentration in topological groups
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...
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    Orbifolds of n–dimensional defectTQFTs
    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...
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      Gauge theory on Aloff–Wallach spaces
      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...
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        Derived induction and restriction theory
        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...
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          Lagrangian mean curvature flow of Whitney spheres
          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...
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            Upsilon-like concordance invariants from 𝔰𝔩nknot cohomology
            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...
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              On homology cobordism and local equivalence between plumbed manifolds
              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...
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                Strand algebras and contact categories
                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 ...
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                  Floer cohomology, multiplicity and the log canonical threshold
                  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...
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                    Energy-maximizing holes in an elastic plate under remote loading
                    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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