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A Scattering Theory for Linear Waves on the Interior of Reissner–Nordström Black Holes
We develop a scattering theory for the linear wave equation □ψ=0 on the interior of Reissner-Nordström black holes, connecting the fixed frequency picture to the physical space picture. Our main result gives the existence...
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Quasinormal Modes in Extremal Reissner–Nordström Spacetimes
Dejan Gajic, Claude Warnick
Jul 28, 2021
Abstract: We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extremal Reissner–Nordström black holes. We...
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Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes
Christoph Kehle
Jul 25, 2019
Motivated by the Strong Cosmic Censorship Conjecture for asymptotically Anti-de Sitter (AdS) spacetimes, we initiate the study of massive scalar waves satisfying □gψ-μψ=0 on the interior of AdS black holes. We prescribe initial...
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Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes
Christoph Kehle
Jun 06, 2020
Abstract: Motivated by the Strong Cosmic Censorship Conjecture for asymptotically Anti-de Sitter (AdS) spacetimes, we initiate the study of massive scalar waves satisfying □gψ-μψ=0 on the interior of AdS black holes. We...
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Deformations of glued G<sub>2</sub>-manifolds
Johannes Nordström
Jul 01, 2009
We study how a gluing construction, which produces compact manifolds with holonomy G2 from matching pairs of asymptotically cylindrical G 2-manifolds, behaves under deformations. We show that the gluing construction defines a...
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Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes
Christoph Kehle
Jul 29, 2020
Abstract: Motivated by the Strong Cosmic Censorship Conjecture for asymptotically Anti-de Sitter (AdS) spacetimes, we initiate the study of massive scalar waves satisfying □gψ-μψ=0 on the interior of AdS black holes. We...
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The association of depression with subsequent dementia diagnosis
BACKGROUND: Depression is associated with an increased risk of dementia. However, short follow-up times and lack of adjustment for familial factors in previous studies could influence this association. The purpose of the present...
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Deformations of glued G<sub>2</sub>-manifolds
Johannes Nordström
Jul 01, 2009
We study how a gluing construction, which produces compact manifolds with holonomy G2 from matching pairs of asymptotically cylindrical G 2-manifolds, behaves under deformations. We show that the gluing construction defines a...
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Asymptotically cylindrical Calabi-Yau manifolds

Let M be a complete Ricci-flat Kähler manifold with one end and assume that this end converges at an exponential rate to [0, ∞) x X for some compact connected Ricci-flat manifold X. We begin by proving general structure...

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Asymptotically cylindrical Calabi-Yau manifolds

Let M be a complete Ricci-flat Kähler manifold with one end and assume that this end converges at an exponential rate to [0, ∞) x X for some compact connected Ricci-flat manifold X. We begin by proving general structure...

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New invariants of G<sub>2</sub>-structures
We define a Z/48-valued homotopy invariant nu of a G_2-structure on the tangent bundle of a closed 7-manifold in terms of the signature and Euler characteristic of a coboundary with a Spin(7)-structure. For manifolds of holonomy...
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The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3

We define the Bianchi–Massey tensor of a topological space (Formula presented.) to be a linear map (Formula presented.), where (Formula presented.) is a subquotient of (Formula presented.) determined by the algebra (Formula...

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Asymptotically cylindrical Calabi–Yau 3–folds from weak Fano 3–folds
We prove the existence of asymptotically cylindrical (ACyl) Calabi–Yau 3–folds starting with (almost) any deformation family of smooth weak Fano 3–folds. This allow us to exhibit hundreds of thousands of new ACyl Calabi–Yau...
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G<sub>2</sub>-Manifolds and associative submanifolds via semi-fano 3-folds

We construct many new topological types of compact G2-manifolds, that is, Riemannian 7-manifolds with holonomy group G2. To achieve this we extend the twisted connected sum construction first developed by Kovalev...

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New invariants of G<sub>2</sub>-structures
We define a Z/48-valued homotopy invariant nu of a G_2-structure on the tangent bundle of a closed 7-manifold in terms of the signature and Euler characteristic of a coboundary with a Spin(7)-structure. For manifolds of holonomy...
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The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3

We define the Bianchi–Massey tensor of a topological space (Formula presented.) to be a linear map (Formula presented.), where (Formula presented.) is a subquotient of (Formula presented.) determined by the algebra (Formula...

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G<sub>2</sub>-Manifolds and associative submanifolds via semi-fano 3-folds

We construct many new topological types of compact G2-manifolds, that is, Riemannian 7-manifolds with holonomy group G2. To achieve this we extend the twisted connected sum construction first developed by Kovalev...

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Tumor Suppression by a TRNA Synthetase
Maria Passarelli
Jan 01, 0001
Despite substantial progress in treatment, breast cancer remains a leading cause of cancer mortality among women. During malignant transformation, healthy mammary cells must bypass tumor suppressive checkpoints and activate...
Published by: Rockefeller University
Asymptotically cylindrical Calabi–Yau 3–folds from weak Fano 3–folds
We prove the existence of asymptotically cylindrical (ACyl) Calabi–Yau 3–folds starting with (almost) any deformation family of smooth weak Fano 3–folds. This allow us to exhibit hundreds of thousands of new ACyl Calabi–Yau...
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SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a...
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SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a...
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Adolescent cannabis use, baseline prodromal symptoms and the risk of psychosis.
BACKGROUND: The association between cannabis use and the risk of psychosis has been studied extensively but the temporal order still remains controversial. Aims To examine the association between cannabis use in adolescence and...
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