79,146 research outputs found

    Geometry of Multiplicative Preprojective Algebra

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    Crawley-Boevey and Shaw recently introduced a certain multiplicative analogue of the deformed preprojective algebra, which they called the multiplicative preprojective algebra. In this paper we study the moduli space of (semi)stable representations of such an algebra (the multiplicative quiver variety), which in fact has many similarities to the quiver variety. We show that there exists a complex analytic isomorphism between the nilpotent subvariety of the quiver variety and that of the multiplicative quiver variety (which can be extended to a symplectomorphism between these tubular neighborhoods). We also show that when the quiver is star-shaped, the multiplicative quiver variety parametrizes Simpson's (poly)stable filtered local systems on a punctured Riemann sphere with prescribed filtration type, weight and associated graded local system around each puncture.Comment: 51pages; corrected typos and references; changed font; v4 is the same as v3 except margi

    Beyond Sufficiency: G.A. Cohen's Community Constraint on Luck Egalitarianism

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    G. A. Cohen conceptualizes socialism as luck egalitarianism constrained by a community principle. The latter mitigates certain inequalities to achieve a shared common life. This article explores the plausibility of the community constraint on inequality in light of two related problems. First, if it is voluntary, it fails as a response to “the abandonment objection” to luck egalitarianism, as it would not guarantee imprudent people sufficient resources to avoid deprivation and to function as equal citizens in a democratic society. Contra Cohenite socialism, this appears unjust. Second, if it is instead enforced, coercive equalization beyond sufficiency-constrained luck egalitarianism, which is possibly necessary to achieve a shared common life, seems to require unjustified restrictions on liberty. I therefore argue that the constraint is most plausibly specified as requiring enforcement of sufficiency and only voluntary equalization thereafter. I also note, skeptically, why this constraint might be morally preferable to a purely sufficientarian alternative

    Bounds for DNA codes with constant GC-content

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    We derive theoretical upper and lower bounds on the maximum size of DNA codes of length n with constant GC-content w and minimum Hamming distance d, both with and without the additional constraint that the minimum Hamming distance between any codeword and the reverse-complement of any codeword be at least d. We also explicitly construct codes that are larger than the best previously-published codes for many choices of the parameters n, d and w.Comment: 13 pages, no figures; a few references added and typos correcte

    Electronic gating circuit and ultraviolet laser excitation permit improved dosimeter sensitivity

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    Standard dosimeter reader, modified by adding an electronic gating circuit to trigger the intensity level photomultiplier, increases readout sensitivity of photoluminescent dosimeter systems. The gating circuit is controlled by a second photomultiplier which senses a short ultraviolet pulse from a laser used to excite the dosimeter

    Vibrating diaphragm pressure transducer

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    Vibrating diaphragm transducer for pressure measurements in wind tunnels - construction, sensitivity, stability, energy losses, and cost estimat
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