92,664 research outputs found

    On the compatibility between cup products, the Alekseev--Torossian connection and the Kashiwara--Vergne conjecture

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    For a finite-dimensional Lie algebra g\mathfrak g over a field KC\mathbb K\supset \mathbb C, we deduce from the compatibility between cup products Kontsevich (2003, Section 8) and from the main result of Shoikhet (2001) an alternative way of re-writing Kontsevich product \star on S(g)\mathrm S(\mathfrak g) by means of the Alekseev--Torossian flat connection (Alekseev and Torossian, 2010). We deduce a similar formula directly from the Kashiwara--Vergne conjecture (Kashiwara and Vergne, 1978).Comment: 8 pages, 1 figure; notation changed; corrected many other misprints recently noticed; comments are very welcome

    Open heavy-flavour production in pp and Pb-Pb collisions at the LHC, measured with ALICE at central rapidity

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    The ALICE experiment studies nucleus-nucleus collisions at the LHC in order to investigate the properties of QCD matter at extreme energy densities. The measurement of open charm and open beauty production allows to investigate the interaction of heavy quarks with the hot and dense medium formed in high-energy nucleus-nucleus collisions. In particular, in-medium energy loss is predicted to be different for gluons, light quarks and heavy quarks and to depend on the medium energy density and size. ALICE has measured open heavy-flavour particle production at central rapidity in several decay channels in Pb-Pb and pp collisions at sqrt{s_NN} = 2.76 TeV and sqrt{s} = 2.76, 7 TeV respectively. The results obtained from the reconstruction of D meson decays at central rapidity and from electrons from heavy-flavour hadron decay will be presented.Comment: Proceedings of the International Conference "Primordial QCD Matter in LHC Era -Implication of QCD results on the early universe", El Cairo, 4th-8th December 201

    The explicit equivalence between the standard and the logarithmic star product for Lie algebras

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    The purpose of this short note is to establish an explicit equivalence between the two star products \star and log\star_{\log} on the symmetric algebra S(g)\mathrm S(\mathfrak g) of a finite-dimensional Lie algebra g\mathfrak g over a field KC\mathbb K\supset\mathbb C of characteristic 0 associated with the standard angular propagator and the logarithmic one: the differential operator of infinite order with constant coefficients realizing the equivalence is related to the incarnation of the Grothendieck-Teichm\"uller group considered by Kontsevich.Comment: 2 figures; corrected and completed the formulation of Theorem 3.7. Comments are very welcome

    Changes to university IPR regulations in Europe and the impact on academic patenting

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    This article develops a general framework to describe the changes in university IPR regulations in Europe and their effects on the patenting activities of universities and on knowledge transfer processes. Understanding the effects of changes in IPR regulations on academic patenting is a complex issue, and parallels with the US case can be misleading. First, despite the general trend towards institutional ownership, university IPR regulations in Europe remain extremely differentiated and there is no one-to-one mapping to the US system. Second, it is difficult to disentangle the quantitative and qualitative effects of changes in IPR ownership regulations on academic patenting activities from the effects of concurrent transformations in the institutional, cultural and organizational landscape surrounding academic knowledge transfer. The article proposes a review and typological classification of national university IPR ownership systems on the basis of their development since 2000, and uses it to analyze the aggregate dynamics of academic patent ownership in several European countries. The analysis of patterns of ownership of academic patents shows that there has been a general increase in university patenting since 1990, with a significant slowdown (and even reduction in some countries) after early 2000s accompanied by a switch in academic patents ownership in favor of university ownership though preserving the European specificity of high company ownership of academic invented patents
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