We construct a compactly supported contact homeomorphism of $\mathbb{R}^5$, with the standard contact structure, which maps a Legendrian disc to a smooth nowhere Legendrian disc.
We define the notion of a submersion of subcartesian differential spaces and prove some of its properties, which are analogous to those of a submersion in the category of smooth manifolds and smooth mappings.
Sagar Bowmik, Shashikana Paria, Ishika Tater
et al.
Abstract Synthesis of luminescent metal cluster for selective sensing of specific analyte with detail mechanistic understanding is very important for real world applications as well as for developing new emissive materials. In the present work, we have synthesized L-glutathione stabilized gold (Au-SG) and gold-silver bimetallic (AuAg-SG) clusters under identical experimental conditions with orange red emissive characteristics for both. Detail photo physical analysis reveals that both clusters are phosphorescent in nature with moderate quantum yield of 7% and 19% for Au-SG and AuAg-SG respectively and their excited state lifetime values are in the range of 1–2 µs. While Au-SG cluster showed luminescence quenching response (turn-off) in presence of Fe3+ and Hg2+ ions, AuAg-SG cluster showed turn-off response for Cu2+, Fe3+ and Hg2+, but luminescent enhancement (turn-on) response for Cd2+ ions. The highest detection limit obtained for Cu2+ ion by AuAg-SG cluster is 20 nM while for Cd2+ ion it is 75 nM. From TCSPC and DLS measurements we postulated that except Cd2+, all other metal ions cause aggregation of clusters through ligation with SG ligands while Cd2+ ion does not induce any cluster aggregation but binds to cluster surface atoms. The near constant life time values of both clusters during gradual addition of respective metal ions confirms static quenching/enhancement process through formation of stable ground state adducts.
We establish a quantitative version of the Gromov compactness theorem for closed genus 0 pseudoholomorphic curves in the setting of a tamed almost complex manifold with bounded geometry.
Consider a Hamiltonian diffeomorphism $g$ on a surface. We describe several scenarios where a curve $L$ and its image $g(L)$ provide a simple evidence that $g$ is not autonomous.
Objective: This study detected Mycobacterium tuberculosis complex (MTBC) species and characterized their drug-susceptibility-testing (DST) profile, for guiding the selection of drugs suitable for treating patients with rifampicin-resistant tuberculosis (RR-TB). Methods: Fifty-four patients with RR-TB were enrolled at the Kibong’oto Infectious Diseases Hospital in Tanzania. Detection of Mycobacteria species was done using smear-microscopy, tuberculosis-culture and molecular methods. Results:Of 54 patients, 38 (70.4%) were male with a median-age of 42 (IQR, 34-54) years. Nineteen (36.5%) had TB with HIV co-infection, 29 (53.7%) had previous TB treatment and 32 (59.3%) had a body-mass-index of <18.5 kg/m 2 . Patients delayed to attend at the hospital by 84 (IQR, 56-252) days. Ten (18.5%), 26 (48.1%) and 28 (51.9%) patients had MTBC by Smear-microscopy, TB-culture and molecular-methods respectively. One HIV-infected patient had M. intracellularae and was phenotypically resistant to all anti-TB drugs. Of the 28 MTBC detected-by molecular methods, 15 (53.6%) were resistant to rifampicin, 7 (25.0%) to isoniazid and 6 (21.4%) were, to both. None had resistance to aminoglycosides/capreomycin or fluoroquinolones. Conclusion: M. tuberculosis was the commonest MTBC species and all were susceptible to second-line anti-TB drugs. M. intracellularae is common in people positive for HIV, with cystic fibrosis and cavitary lesions.
We prove that on certain closed symplectic manifolds a $C^1$-generic cyclic subgroup of the universal cover of the group of Hamiltonian diffeomorphisms is undistorted with respect to the Hofer metric.
We give an inequality of the displacement energy for exact Lagrangian immersions and the symplectic area of punctured holomorphic discs. Our approach is based on Floer homology for Lagrangian immersions and Chekanov's homotopy technique of continuations.
We introduce a combination of fixed point Floer homology and symplectic homology for Liouville domains. As an application, we detect non-trivial elements in the symplectic mapping class group of a Liouville domain.
We generalize the "symplectic Khovanov cohomology" of Seidel and Smith to tangles using the notion of symplectic valued topological field theory introduced by Wehrheim and Woodward.