Non semi-simple sl(2) quantum invariants, spin case

Invariants of 3-manifolds from a non semi-simple category of modules over a version of quantum sl(2) were obtained by the last three authors in [arXiv:1404.7289]. In their construction the quantum parameter $q$ is a root of unity of order $2r$ where $r>1$ is odd or congruent to $2$ modulo $4$. In this paper we consider the remaining cases where $r$ is congruent to zero modulo $4$ and produce invariants of $3$-manifolds with colored links, equipped with generalized spin structure. For a given $3$-manifold $M$, the relevant generalized spin structures are (non canonically) parametrized by $H^1(M;\mathbb C/2\mathbb Z)$.Comment: 13 pages, 16 figure

On homogeneous CR manifolds and their CR algebras

In this paper we show some results on homogeneous CR manifolds, proved by introducing their associated CR algebras. In particular, we give different notions of nondegeneracy (generalizing the usual notion for the Levi form) which correspond to geometrical properties for the corresponding manifolds. We also give distinguished equivariant CR fibrations for homogeneous CR manifolds. In the second part of the paper we apply these results to minimal orbits for the action of a real form of a semisimple Lie group \^G on a flag manifold \^G/Q.Comment: 14 pages. AMS-LaTeX v2: minor revisio

Riemergenza del poliovirus ed implicazioni per la vaccinazione anti-poliovirus in Italia

Nel 1988, l\u2019Organizzazione mondiale della Sanit\ue0 (OMS) ha approvato il piano di eradicazione mondiale della poliomielite con l\u2019obiettivo di annullare la circolazione del virus a partire dall\u2019anno 2000. Tale target, per motivi economici, organizzativi, culturali, bellici e financo religiosi, \ue8 stato successivamente spostato in avanti negli anni fino a giungere attualmente al 2015. A seguito di questo impegno, negli anni si \ue8 registrata una riduzione dell\u2019incidenza di poliomielite di oltre il 99%, passando dai 350.000 casi annui di polio paralitica documentati nel 1988 in 125 paesi, alle poche centinaia di casi riscontrati nel 2013 sia negli ultimi 3 paesi endemici (Nigeria, Afghanistan, Pakistan) sia in paesi polio-free spesso confinanti con quelli endemici ed interessati da un corollario di epidemie di dimensioni variabili

Nuclear Magnetic Resonance Quantum Computing Using Liquid Crystal Solvents

Liquid crystals offer several advantages as solvents for molecules used for nuclear magnetic resonance quantum computing (NMRQC). The dipolar coupling between nuclear spins manifest in the NMR spectra of molecules oriented by a liquid crystal permits a significant increase in clock frequency, while short spin-lattice relaxation times permit fast recycling of algorithms, and save time in calibration and signal-enhancement experiments. Furthermore, the use of liquid crystal solvents offers scalability in the form of an expanded library of spin-bearing molecules suitable for NMRQC. These ideas are demonstrated with the successful execution of a 2-qubit Grover search using a molecule ($^{13}$C$^{1}$HCl$_3$) oriented in a liquid crystal and a clock speed eight times greater than in an isotropic solvent. Perhaps more importantly, five times as many logic operations can be executed within the coherence time using the liquid crystal solvent.Comment: Minor changes. Published in Appl. Phys. Lett. v.75, no.22, 29 Nov 1999, p.3563-356

Low Molecular Weight Hyaluronic Acid (500–730 Kda) Injections in Tendinopathies—A Narrative Review

Tendinopathies are common causes of pain and disability in general population and athletes. Conservative treatment is largely preferred, and eccentric exercise or other modalities of therapeutic exercises are recommended. However, this approach requests several weeks of consecutive treatment and could be discouraging. In the last years, injections of different formulations were evaluated to accelerate functional recovery in combination with usual therapy. Hyaluronic acid (HA) preparations were proposed, in particular LMW-HA (500-730 kDa) for its unique molecular characteristics in favored extracellular matrix homeostasis and tenocyte viability. The purpose of our review is to evaluate the state-of-the-art about the role of 500-730 kDa in tendinopathies considering both preclinical and clinical findings and encourage further research on this emerging topic

The role of hyaluronic acid injection for the treatment of tendinopathy

Hyaluronic acid has carved out an essential, though sometimes discussed, role in the treatment of joint degenerative pathology. Recent studies, first in vitro, then preclin-ical, have paved the way for use in tendon pathology. Clinical experience to date has shown extremely encouraging results in different tendinopathy frameworks such as tenosynovitis, insertional tendinopathies and tendon mid-portion