132,871 research outputs found

    Ángela Hernández Núñez, Ventuno aforismi

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    21 aforismos de la poeta dominicana Ángela Hernández Núñez (1954), sacados del libro “Breve filosofía para el amanecer” (2024), traducidos al italiano por Danilo Manera, con una nota crítica

    Uno sguardo femminile tra devianza e fiducia

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    Introduzione e commento critico ai racconti della scrittrice dominicana Ángela Hernández Núñez (1954), posposto a una antologia in italiano curata da Danilo Manera.Comentario crítico a una antología de cuentos, traducidos al italiano, de la escritora dominicana Ángela Hernández Núñez (1954), preparada por Danilo Manera.

    Una brecha en el agua

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    Studio introduttivo alla raccolta di racconti scelti della scrittrice dominicana Ángela Hernández Núñez (1954)

    An axiomatic approach to supermanifolds

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    "The authors reconsider M. J. Rothstein’s axiomatization [Trans. Amer. Math. Soc. 297 (1986), no. 1, 159–180; MR0849473 (87m:58015)] of supermanifolds in the light of its giving a much wider category of supermanifolds than the Berezin-Leıtes-Kostant category of supermanifolds for a given choice of the Banach algebra occurring as the base. They show that by adding an axiom asserting the completeness of the rings of sections of structure sheaves this difficulty can be removed. Moreover, when the base algebra is a finite-dimensional exterior algebra, then the category of Rothstein supermanifolds is equivalent to the category of G-supermanifolds introduced by Bartocci, Bruzzo and Hernández Ruipérez [The geometry of supermanifolds, Kluwer Dordrecht, 1991]." J. S. Joel, MR1153267 (92k:58015

    Mutual friction and vortex Hall angle in a strongly interacting Fermi superfluid

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    We investigate the two-dimensional motion of a single vortex orbiting a pinned anti-vortex in a unitary Fermi superfluid. By analyzing its trajectory, we measure the yet-unknown longitudinal and transverse mutual friction coefficients, which quantify the vortex-mediated coupling between the normal and superfluid components. Both coefficients increase while approaching the superfluid transition. They provide access to the vortex Hall angle, which is linked to the relaxation time of the localized quasiparticles occupying Andreev bound states within the vortex core, and to the vortex Reynolds number Re alpha associated with the transition from laminar to quantum turbulent flows. We compare our results with numerical simulations and an analytic model originally formulated for superfluid 3He, finding good agreement. Our work suggests that vortex dynamics in unitary Fermi superfluids is essentially affected by the interplay between delocalized thermal excitations and vortex-bound quasiparticles. Further, it provides a novel testbed for studying vortex dynamics at finite temperatures

    Connecting shear-flow and vortex array instabilities in annular atomic superfluids

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    At the interface between two fluid layers in relative motion, infinitesimal fluctuations can be exponentially amplified, inducing vorticity and the breakdown of the laminar flow. This process, known as the Kelvin-Helmholtz instability, is responsible for many familiar phenomena observed in the atmosphere and in the oceans, as well as in astrophysical objects, being known as one of the paradigmatic routes to turbulence in fluid mechanics. While shear-flow instabilities in classical fluids have been extensively observed in various contexts, controlled experiments in the presence of quantized circulation are comparatively very few. Here, we engineer two counter-rotating atomic superflows, a configuration that in classical inviscid fluids is unstable via the Kelvin-Helmholtz instability. We observe how the contact interface, i.e. the shear layer, develops into an ordered circular array of quantized vortices, which loses stability and rolls up into vortex clusters. We extract the instability growth rates and find that they obey the same scaling relations across different superfluid regimes, ranging from weakly-interacting bosonic to strongly-correlated fermionic pair condensates. The measured scalings, reproduced by numerical simulations and well described by a microscopic point-vortex model, are consistent with the classical hydrodynamic Kelvin-Helmholtz instability of a finite-width shear layer. Our results establish interesting connections between vortex arrays and shear-flow instabilities, suggesting a possible interpretation of the observed quantized vortex dynamics as a manifestation of the underlying unstable flow. Moreover, they open the way for exploring a wealth of out-of-equilibrium phenomena, from vortex-matter phase transitions to the spontaneous emergence and decay of two-dimensional quantum turbulence

    Products and vector bundles in the category of G-supermanifolds

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    In the present paper we introduce the concept of a product of G-supermanifolds and develop the concept of a (super)vector bundle. In both cases, the definition of the structure sheaf of the total space occurs to be nontrivial

    Fourier-Mukai transform and index theory

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    Given a submersive morphism of complex manifolds f: X --> Y, and a complex vector bundle E on X, there is a relationship between the higher direct images of the sheaf of holomorphic sections of E and the index of the relative Dolbeault compplex twisted by E. This relationship allows one to yield a global and simple proof of the equivalence between the Mukai transform of stable vector bundles on a torus T of complex dimension 2 and the Nahm transform of instantons. We also offer a proof of Mukai's inversion theorem which circumvents the use of derived categories by introducing spectral sequences of sheaves on T (this is related to Donaldson and Kronheimer's proof, but is automatically global and somehow simpler). The general framework developed in the first part of this papare may be applied to the study of the Mukai transform for more general varieties
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