Quantum weighted projective and lens spaces

We generalize to quantum weighted projective spaces in any dimension previous results of us on K-theory and K-homology of quantum projective spaces `tout court'. For a class of such spaces, we explicitly construct families of Fredholm modules, both bounded and unbounded (that is spectral triples), and prove that they are linearly independent in the K-homology of the corresponding C*-algebra. We also show that the quantum weighted projective spaces are base spaces of quantum principal circle bundles whose total spaces are quantum lens spaces. We construct finitely generated projective modules associated with the principal bundles and pair them with the Fredholm modules, thus proving their non-triviality.Comment: 30 pages, no figures. Section on spectral triples expanded with some new result

Anti-selfdual Connections On The Quantum Projective Plane: Instantons

We study one-instantons, that is anti-selfdual connections with instanton number 1, on the quantum projective plane with orientation which is reversed with respect to the usual one. The orientation is fixed by a suitable choice of a basis element for the rank 1 free bimodule of top forms. The noncommutative family of solutions is foliated, each non-singular leaves being isomorphic to the quantum projective plane itself.Comment: 35 pages, no figures; v2: minor change

Geometry of Quantum Projective Spaces

In recent years, several quantizations of real manifolds have been studied, in particular from the point of view of Connes' noncommutative geometry. Less is known for complex noncommutative spaces. In this paper, we review some recent results about the geometry of complex quantum projective spaces.Comment: 48 pages, no figure

Bounded and unbounded Fredholm modules for quantum projective spaces

We construct explicit generators of the K-theory and K-homology of the coordinate algebra of `functions' on quantum projective spaces. We also sketch a construction of unbounded Fredholm modules, that is to say Dirac-like operators and spectral triples of any positive real dimension.Comment: 8 pages, no figures, dcpic, pdflatex. v2: 8 pages, minor changes, final version to appears in JK

Pimsner algebras and circle bundles

We report on the connections between noncommutative principal circle bundles, Pimsner algebras and strongly graded algebras. We illustrate several results with the examples of quantum weighted projective and lens spaces and theta-deformations.Comment: 24 pages. v3: Updated title. No changes in the scientific content and result

EZH2 Single Nucleotide Variants (SNVs): Diagnostic and Prognostic Role in 10 Solid Tumor Types

The enhancer of zeste homolog 2 (EZH2) gene encodes a histone methyltransferase that is a catalytic subunit of the Polycomb repressive complex 2 (PRC2) group of proteins that act to repress gene expression. The EZH2 locus is rarely mutated in solid tumors and there is no comprehensive study of EZH2 single nucleotide variants (SNVs) associated with cancer susceptibility, prognosis and response to therapy. Here, for the first time, we review the functional roles of EZH2 DNA variants and propose a putative etiological role in 10 various solid tumors including: esophageal, hepatocellular, oral, urothelial, colorectal, lung and gastric cancers. In particular, we found that the C allele of the EZH2 variant rs3757441 is associated with increased EZH2 RNA expression and poorer prognosis (advanced stage) in at least two malignancies such as colorectal and hepatocellular carcinoma. This suggests that the C allele may be a functional risk variant in multiple malignant tumors. We therefore propose that the rs3757441 single nucleotide variant (SNV) be genotyped and real-time PCR assays be performed in large cohort studies in order to confirm this preliminary finding that could be useful for clinical practice

Anti-selfdual Connections on the Quantum Projective Plane: Monopoles

We present several results on the geometry of the quantum projective plane CP2q. They include: explicit generators for the K-theory and the K-homology; a real calculus with a Hodge star operator; anti-selfdual connections on line bundles with explicit computation of the corresponding 'monopoles' and 'instanton' charges; complete diagonalization of gauged Laplacians on these line bundles; quantum invariants via equivariant K-theory and q-indices.Comment: dcpic, pdflatex. v2: 51 pages. Added a Section of Concluding remarks, an Appendix on representations of the coordinate algebra of the quantum projective plane and three additional references. Several minor changes throughout the paper including changes in terminology. To appear in CMP

The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra

We generalize a result of Mikkelsen-Szymanski and show that, for every $n\geq 2$, any bounded *-representation of the quantum symplectic sphere $S^{4n-1}_q$ annihilates the first $n-1$ generators. We then classify irreducible representations of the coordinate algebra $A(S^{4n-1}_q)$.Comment: 10 pages, 1 figur

Parametrizzazione dell'erp "Microsoft Dynamics Nav 4.0" in una pmi italiana operante nel settore della distribuzione di prodotti farmaceutici

Attraverso un’analisi top-down si è cercato di capire innanzitutto il panorama delle pmi italiane riguardo al fabbisogno informativo per poi spostarsi sull’analisi di un caso reale di implementazione di un nuovo sistema informativo attraverso l’utilizzo di un erp. Innanzitutto ci si è chiesto quali siano le necessità informative delle pmi italiane e quale sia il ventaglio di proposte offerte dal mondo IT per soddisfarle (capitolo 2). Ci si è poi spostati su una soluzione particolare riguardante il mondo dei sistemi erp: dopo aver analizzato le caratteristiche principali dei sistemi erp (capitolo 3), ci si è concentrati sulla descrizione di Microsoft Dynamics Nav, il sistema erp fornito da Microsoft (capitolo 4). Si è quindi descritto il caso applicativo reale di installazione e configurazione di Dynamics Nav in una pmi italiana. Dopo aver introdotto i due attori principali del caso di studio e le fasi in cui si articola il progetto (capitolo 5), si delle sono descritte le varie fasi di progetto a partire dalla fase di formulazione di offerta (capitolo 6), passando dalle più corpose fasi di analisi e implementazione (capitoli 7 e 8), fino ad arrivare alla fase di assistenza una volta che il nuovo sistema è entrato in produzione (capitolo 9). Nei capitoli di studio del caso reale si farà particolare riferimento ad un particolare processo aziendale: il ciclo attivo

condition monitoring techniques for machine bearings in non stationary operation

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