1,720,963 research outputs found
G -theory of F 1 -algebras I: the equivariant Nishida problem
We develop a version of -theory for an -algebra (i.e., the -theory of pointed G-sets for a pointed monoid G) and establish its first properties. We construct a Cartan assembly map to compare the Chu-Morava -theory for finite pointed groups with our -theory. We compute the -theory groups for finite pointed groups in terms of stable homotopy of some classifying spaces. We introduce certain Loday-Whitehead groups over that admit functorial maps into classical Whitehead groups under some reasonable hypotheses. We initiate a conjectural formalism using combinatorial Grayson operations to address the Equivariant Nishida Problem-it asks whether admits operations that endow with a pre--ring structure, where G is a finite group and is the G-fixed point spectrum of the equivariant sphere spectrum
Lecture notes on noncommutative algebraic geometry and noncommutative tori
Snigdhayan Mahantahttp://math.ipm.ac.ir/conferences/2005/ncg2005/index.ht
On the Generating Hypothesis in Noncommutative Stable Homotopy
Freyd's Generating Hypothesis is an important problem in topology with deep structural consequences for finite stable homotopy. Due to its complexity some recent work has examined analogous questions in various other triangulated categories. In this short note we analyze the question in noncommutative stable homotopy, which is a canonical generalization of finite stable homotopy. Along the way we also discuss Spanier-Whitehead duality in this extended setup
Higher nonunital Quillen K'-theory, KK-dualities and applications to topological T-dualities
Snigdhayan Mahant
Going Beyond Counting First Authors in Author Co-citation Analysis
The 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
“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
Appropriate Similarity Measures for Author Cocitation Analysis
We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Algebraic aspects of noncommutative tori : the Riemann–Hilbert correspondence
In this thesis we have tried to figure out some algebraic aspects of noncommutative tori, aiming at generalizing them to arbitrary noncommutative spaces. In the second section all relevant definitions, some examples and motivations have been provided.In the third section we look at the example of noncommutative tori and see how they can be related to similar objects called noncommutative elliptic curves. We extract a suitably well-behaved subcategory of the category of holomorphic bundles over noncommutative tori. This category turns out to admit a Tannakian structure with Z+ΘZ as the fundamental group. The key to this construction is an equivariant version of the classical Riemann–Hilbert correspondence. The aim was to construct homotopy theoretic invariants of noncommutative tori, e.g., fundamental groups and we make a proposal to that end.The last two sections constitute an attempt to rewrite some parts of noncommutative algebraic geometry in the framework of DG categories. We provide a description of the category of noncommutative spaces and their associated noncommutative motives. We had some arithmetic applications in mind, namely, introducing and studying motivic zeta functions of noncommutative tori. We propose a universal motivic measure on the category of noncommutative spaces. In it lies a subcategory consisting of noncommutative Calabi–Yau spaces containing elliptic curves and noncommutative tori. In this setting we introduce a motivic zeta function of noncommutative tori; more generally that of noncommutative Calabi–Yau spaces. Our work should be put in perspective with the Real Multiplication programme of Manin
Dispelling the Myths Behind First-author Citation Counts
We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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