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Two-microlocal regularity of quasimodes on the torus
作者：Fabricio Macià , Gabriel Rivière
来源：[J].Analysis & PDE, 2018, Vol.11 (8), pp.2111-2136MSP
摘要：We study the regularity of stationary and time-dependent solutions to strongperturbations of the free Schr\"odinger equation on two-dimensional flattori. This is achieved by performing a second microlocalizationrelated to the size of the perturbation and by analyzing concentratio...
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    Multiple crack damage detection of structures using simplified PZT model
    作者：Narayanan Jinesh , Krishnapillai Shankar
    来源：[J].Journal of Mechanics of Materials and Structures(IF 0.46), 2018, Vol.13 (2), pp.225-246MSP
    摘要：A novel damage identification scheme for multiple cracks in beams ispresented based on the one-dimensional (1-D) piezoelectric patch withbeam model. A hybrid element constituted of a 1-D beam element anda PZT sensor is used with reduced material properties. This modelismore conve...
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      Alexander and Thurston norms, and theBieri–Neumann–Strebel invariants for free-by-cyclic groups
      作者：Florian Funke , Dawid Kielak
      来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2647-2696MSP
      摘要：We investigate Friedl and L\"uck's universal$L^2$--torsion for descending HNN extensions of finitelygenerated free groups, and so in particular for$F_n$-by-$\Z$ groups.This invariant induces a seminorm on the first cohomologyof the group which is an analogue of the Thurston normf...
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        Floer homology and covering spaces
        作者：Tye Lidman , Ciprian Manolescu
        来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2817-2838MSP
        摘要：We prove a Smith-type inequality for regular covering spaces in monopoleFloer homology. Using the monopole Floer/Heegaard Floer correspondence,we deduce that if a $3$--manifold $Y$ admits a $p^n$--sheeted regularcover that is a $\mathbb{Z}/p\mathbb{Z}$--$L$--space (for $p$ prime)...
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          On the unstable intersection conjecture
          作者：Michael Levin
          来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2511-2532MSP
          摘要：Compacta $X$ and $Y$ are said to admit a stableintersection in ${\R^n}$ ifthere are maps $f \co X \to \R^n$ and $g \co Y \to \R^n$such thatfor every sufficiently close continuous approximations$f' \co X \to \R^n$ and $g' \co Y \to \R^n$ of $f$ and $g$,we have $f'(X)\cap\nobreak g...
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            Rigidity for convex-cocompact actions on rank-one symmetric spaces
            作者：Guy David , Kyle Kinneberg
            来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2757-2790MSP
            摘要：When $\Gamma \curvearrowright X$ is a convex-cocompact action of a discrete group on anoncompact rank-one symmetric space $X\!$, there is a natural lower bound forthe Hausdorff dimension of the limit set $\Lambda(\Gamma) \subset \partial X\!$,given by the Ahlfors regular conforma...
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              Categorified Young symmetrizers and stable homology of torus links
              作者：Matthew Hogancamp
              来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2943-3002MSP
              摘要：We show that the triply graded Khovanov--Rozansky homology of thetorus link $T_{n,k}$stabilizes as $k\to \infty$. We explicitlycompute the stable homology, as a ring, which proves a conjectureof Gorsky, Oblomkov, Rasmussen and Shende. To accomplish this, we constructcomplexes $P_...
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                Real line arrangements with the Hirzebruch property
                作者：Dmitri Panov
                来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2697-2711MSP
                摘要：A line arrangement of $3n$ lines in $\mathbb{C}P^2$satisfiesthe Hirzebruch property if each line intersect others in $n+1$points. Hirzebruch asked in 1985if all such arrangements arerelated to finite complex reflection groups. We give a positive answerto this question in the case...
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                  The number of convex tilings of the sphere by triangles, squares, or hexagons
                  作者：Philip Engel , Peter Smillie
                  来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2839-2864MSP
                  摘要：A tiling of the sphere by triangles, squares, or hexagons is\emph{convex} if every vertex has at most $6$, $4$, or $3$ polygonsadjacent to it, respectively.Assigning an appropriate weight toany tiling, our mainresults are explicit formulas for the weightednumber of convex tilings...
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                    Exotic open 4–manifolds which arenonleaves
                    作者：Carlos Meniño Cotón , Paul Schweitzer
                    来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (5), pp.2791-2816MSP
                    摘要：We study the possibility of realizing exotic smooth structures onfinitely punctured simply connected closed $4\mkern-1.5mu$--manifoldsas leaves ofa codimension-one foliation on a compact manifold. In particular, weshow the existence of uncountably many smooth open$4\mkern-1.5mu$-...
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