112,771 research outputs found
Koszul complexes and spectral sequences associated with Lie algebroids
No full textWe study some spectral sequences associated with a locally free OX-module A which has a Lie algebroid structure. Here X is either a complex manifold or a regular scheme over an algebraically closed field k. One spectral sequence can be associated with A by choosing a global section V of A, and considering a Koszul complex with a differential given by inner product by V. This spectral sequence is shown to degenerate at the second page by using Deligne’s degeneracy criterion. Another spectral sequence we study arises when considering the Atiyah algebroid DE of a holomolorphic vector bundle E on a complex manifold. If V is a differential operator on E with scalar symbol, i.e, a global section of DE, we associate with the pair (E, V) a twisted Koszul complex. The first spectral sequence associated with this complex is known to degenerate at the first page in the untwisted (E= 0) case
Cohomology of skew-holomorphic lie algebroids
No full textWe introduce the notion of a skew-holomorphic Lie algebroid on a complex manifold and explore some cohomology theories that can be associated with it. We present examples and applications of this notion in terms of different types of holomorphic Poisson structures
On localization in holomorphic equivariant cohomology
No full textWe study a holomorphic equivariant cohomology built out of the Atiyah algebroid of an equivariant holomorphic vector bundle and prove a related localization formula. This encompasses various residue formulas in complex geometry, in particular we shall show that it contains as special cases Carrell-Liebermann’s and Feng-Ma’s residue formulas, and Baum-Bott’s formula for the zeroes of a meromorphic vector field
Erratum: a synonymous variant in GCK gene as a cause of gestational diabetes mellitus (diabetes mellitus. 2019;22(2). Doi: 10.14341/dm9938)
No full textAn erratum on «A synonymous variant in GCK gene as a cause of gestational diabetes mellitus» by Natalya A. Zubkova, Petr M. Rubtsov, Liudmila I. Ibragimova, Nina A. Makretskaya, Evgeny V. Vasiliev, Vasily M. Petrov, Anatoly N. Tiulpakov (2019). Diabetes mellitus. 22(2). doi: 10.14341/DM9938An error was made in the list of authors: Fatima F. Burumkulova was not indicated as author of this article. The correct list of authors: Natalya A. Zubkova, Petr M. Rubtsov, Fatima F. Burumkulova, Liudmila I. Ibragimova, Nina A. Makretskaya, Evgeny V. Vasiliev, Vasily M. Petrov, Anatoly N. Tiulpakov.The editorial board apologize for this error and state that this does not change the scientific conclusions of the article in any way.The original article has been updated
author-bios-SRD-19-0063.R1 – Supplemental material for The Network Structure of Police Misconduct
No full textSupplemental material, author-bios-SRD-19-0063.R1 for The Network Structure of Police Misconduct by George Wood, Daria Roithmayr and Andrew V. Papachristos in Socius</p
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
No full text“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Reconstruction of the female Gorilla gorilla karyotype using 25-color FISH and multicolor banding (MCB)
No full textQuantum many-body adiabaticity, topological Thouless pump and driven impurity in a one-dimensional quantum fluid
No full textThe quantum adiabatic theorem states that a driven system can be kept arbitrarily close to the instantaneous eigenstate of its Hamiltonian if the latter varies in time slowly enough. When it comes to applying the adiabatic theorem in practice, the key question to be answered is how slow slowly enough is. This question can be an intricate one, especially for many-body systems, where the limits of slow driving and large system size may not commute. Recently we have shown how the quantum adiabaticity in many-body systems is related to the generalized orthogonality catastrophe [arXiv 1611.00663, to appear in Phys. Rev. Lett.]. We have proven a rigorous inequality relating these two phenomena and applied it to establish conditions for the quantized transport in the topological Thouless pump. In the present contribution we (i) review these developments and (ii) apply the inequality to establish the conditions for adiabaticity in a one-dimensional system consisting of a quantum fluid and an impurity particle pulled through the fluid by an external force. The latter analysis is vital for the correct quantitative description of the phenomenon of quasi-Bloch oscillations in a one-dimensional translation invariant impurity-fluid system.</p
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