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   Maximal and Typical topology of real polynomial singularities; Stecconi, Michele  in Annales de l'Institut Fourier (in press) Detailed reference viewed: 22 (0 UL)Scattering theory without injectivity radius assumptions, and spectral stability for the Ricci flow; Thalmaier, Anton in Annales de l'Institut Fourier (2020), 70(1), 437-456 We prove a new integral criterion for the existence and completeness of the wave operators W_{\pm}(-\Delta_h,-\Delta_g, I_{g,h}) corresponding to the (unique self-adjoint realizations of) the Laplace ... [more ▼] We prove a new integral criterion for the existence and completeness of the wave operators W_{\pm}(-\Delta_h,-\Delta_g, I_{g,h}) corresponding to the (unique self-adjoint realizations of) the Laplace-Beltrami operators -\Delta_j, j=g,h, that are induced by two quasi-isometric complete Riemannian metrics g and h on an open manifold M. In particular, this result provides a criterion for the absolutely continuous spectra of -\Delta_g and -\Delta_h to coincide. Our proof relies on estimates that are obtained using a probabilistic Bismut type formula for the gradient of a heat semigroup. Unlike all previous results, our integral criterion only requires some lower control on the Ricci curvatures and some upper control on the heat kernels, but no control at all on the injectivity radii. As a consequence, we obtain a stability result for the absolutely continuous spectrum under a Ricci flow. [less ▲] Detailed reference viewed: 245 (46 UL)On two theorems about local automorphisms of geometric structuresPecastaing, Vincent in Annales de l'Institut Fourier (2016), 66(1), 175-208 This article investigates a few questions about orbits of local automorphisms in manifolds endowed with rigid geometric structures. We give suf- ficient conditions for local homogeneity in a broad class ... [more ▼] This article investigates a few questions about orbits of local automorphisms in manifolds endowed with rigid geometric structures. We give suf- ficient conditions for local homogeneity in a broad class of such structures, namely Cartan geometries, extending a classical result of Singer about locally homogeneous Riemannian manifolds. We also revisit a strong result of Gromov which describes the structure of the orbits of local automorphisms of manifolds endowed with A- rigid structures, and give a statement and a simpler proof of this result in the setting of Cartan geometries. [less ▲] Detailed reference viewed: 96 (1 UL)On the equivariant K-homology of PSL_2 of the imaginary quadratic integersRahm, Alexander in Annales de l'Institut Fourier (2016), 66(4), 1667-1689 We establish formulae for the part due to torsion of the equivariant K-homology of all the Bianchi groups (PSL_2 of the imaginary quadratic integers), in terms of elementary number-theoretic quantities ... [more ▼] We establish formulae for the part due to torsion of the equivariant K-homology of all the Bianchi groups (PSL_2 of the imaginary quadratic integers), in terms of elementary number-theoretic quantities. To achieve this, we introduce a novel technique in the computation of Bredon homology: representation ring splitting, which allows us to adapt the recent technique of torsion subcomplex reduction from group homology to Bredon homology. [less ▲] Detailed reference viewed: 122 (4 UL)Sur la complétude de certaines variétés pseudo-riemanniennes localement homogènes.Tholozan, Nicolas in Annales de l'Institut Fourier (2015), 65(5), 1921-1952 Detailed reference viewed: 44 (1 UL)Coalgebraic approach to the Loday infinity category, stem differential for 2n-ary graded and homotopy algebrasAmmar, Mourad ; Poncin, Norbert in Annales de l'Institut Fourier (2010), 60(1), 355--387 Detailed reference viewed: 148 (13 UL) |
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