Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling

An L-space is a rational homology 3-sphere with minimal Heegaard Floer homology. We give the first examples of hyperbolic L-spaces with no symmetries. In particular, unlike all previously known L-spaces, these manifolds are not double branched covers of links in S^3. We prove the existence of infinitely many such examples (in several distinct families) using a mix of hyperbolic geometry, Floer theory, and verified computer calculations. Of independent interest is our technique for using interval arithmetic to certify symmetry groups and non-existence of isometries of cusped hyperbolic 3-manifolds. In the process, we give examples of 1-cusped hyperbolic 3-manifolds of Heegaard genus 3 with two distinct lens space fillings. These are the first examples where multiple Dehn fillings drop the Heegaard genus by more than one, which answers a question of Gordon.Comment: 19 pages, 2 figures. v2: minor changes to intro. v3: accepted version, to appear in Math. Res. Letter

Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling

Mathematic

A phenobarbital overdose: a case report

Background: Phenobarbital is a long-acting barbiturate, responsible for many cases of poisoning, from unintentional overdose or attempted suicide. We report a case of phenobarbital overdose in a patient with history of depression. Patients and Methods: A 60 year old woman was admitted to our Internal Medicine Unit for drowsiness, irritability, difficulties in the maintenance of an upright position, dysphasia and weakness. She was suffering from depression and epilepsy and treated with phenobarbital 150 mg/die. Results: At the admittance, she had high fever and neck stiffness; phenobarbital serum levels were 71.2 mcg/ml (3 times u.n.l.); aminotransferases were 12-17u.n.l. Arterial blood pressure was 80/50 mmHg. An inflammatory meningeal process was excluded by lumbar puncture; a brain and spinal cord CT scan excluded spine bone lesions and ischemic stroke. In the suspect of an overdose, a protocol of urine alkalinization was applied resulting in a reduction of phenobarbital levels below the therapeutic range in about 6 days, with state of consciousness, cognitive and behavioral functions improvement. A rapid normalization in aminotransferases levels was noted and serology for hepatitis viruses (HAV, HBV, CMV, EBV, HSV) resulted negative. Conclusions: In our patient phenobarbital was responsible for stupor, hypotension, hypertonicity and aminotransferases elevation, whereas fever was due to a concomitant pulmonary inflammatory process resolved after antibiotic therapy. Despite the use of these drugs has been progressively reduced, the number overdose reports remains still hig

Syntax for free: representing syntax with binding using parametricity

We show that, in a parametric model of polymorphism, the type ∀ α. ((α → α) → α) → (α → α → α) → α is isomorphic to closed de Bruijn terms. That is, the type of closed higher-order abstract syntax terms is isomorphic to a concrete representation. To demonstrate the proof we have constructed a model of parametric polymorphism inside the Coq proof assistant. The proof of the theorem requires parametricity over Kripke relations. We also investigate some variants of this representation

IPOGLICEMIA NEONATALE: RILIEVI EPIDEMIOLOGICI IN UN CAMPIONE DI NEONATI RICOVERATI (2012-2017)

ipoglicemia neonatal

MINT, the molecular interaction database: 2012 update

The Molecular INTeraction Database (MINT, http://mint.bio.uniroma2.it/mint/) is a public repository for protein-protein interactions (PPI) reported in peer-reviewed journals. The database grows steadily over the years and at September 2011 contains approximately 235,000 binary interactions captured from over 4750 publications. The web interface allows the users to search, visualize and download interactions data. MINT is one of the members of the International Molecular Exchange consortium (IMEx) and adopts the Molecular Interaction Ontology of the Proteomics Standard Initiative (PSI-MI) standards for curation and data exchange. MINT data are freely accessible and downloadable at http://mint.bio.uniroma2.it/mint/download.do. We report here the growth of the database, the major changes in curation policy and a new algorithm to assign a confidence to each interaction

On the six-dimensional origin of the AGT correspondence

We argue that the six-dimensional (2,0) superconformal theory defined on M \times C, with M being a four-manifold and C a Riemann surface, can be twisted in a way that makes it topological on M and holomorphic on C. Assuming the existence of such a twisted theory, we show that its chiral algebra contains a W-algebra when M = R^4, possibly in the presence of a codimension-two defect operator supported on R^2 \times C \subset M \times C. We expect this structure to survive the \Omega-deformation.Comment: References added. 14 page

Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves

We define complexes of vector bundles on products of moduli spaces of framed rank r torsion-free sheaves on the complex projective plane. The top non-vanishing Chern classes of the cohomology of these complexes yield actions of the r-colored Heisenberg and Clifford algebras on the equivariant cohomology of the moduli spaces. In this way we obtain a geometric realization of the boson-fermion correspondence and related vertex operators.Comment: 36 pages; v2: Definition of geometric Heisenberg operators modified; v3: Minor typos correcte

The SIMI Gender ‘5 Ws’ Rule for the integration of sex and gender-related variables in clinical studies towards internal medicine equitable research

Biological sex and sociocultural gender matter when it comes to health and diseases. They have been both proposed as the undeniable gateways towards a personalized approach in care delivery. The Gender Working Group of the Italian Society of Internal Medicine (SIMI) was funded in 2019 with the aim of promoting good practice in the integration of sex and gender domains in clinical studies. Starting from a narrative literature review and based on regular meetings which led to a shared virtual discussion during the national SIMI congress in 2021, the members of the WG provided a core operational framework to be applied by internal medicine (IM) specialists to understand and implement their daily activity as researchers and clinicians. The SIMI Gender '5 Ws' Rule for clinical studies has been conceptualized as follows: Who (Clinical Internal Medicine Scientists and Practitioners), What (Gender-related Variables-Gender Core Dataset), Where (Clinical Studies/Translational Research), When (Every Time It Makes Sense) and Why (Explanatory Power of Gender and Opportunities). In particular, the gender core dataset was identified by the following domains (variables to collect accordingly): relations (marital status, social support, discrimination); roles (occupation, caregiver status, household responsibility, primary earner, household dimension); institutionalized gender (education level, personal income, living in rural vs urban areas); and gender identity (validated questionnaires on personality traits). The SIMI Gender '5 Ws' Rule is a simple and easy conceptual framework that will guide IM for the design and analysis of clinical studies