given a graph $g$, let $g^sigma$ be an oriented graph of $g$ with the orientation $sigma$ and skew-adjacency matrix $s(g^sigma)$. then the spectrum of $s(g^sigma)$ consisting of all the eigenvalues of $s(g^sigma)$ is called the skew-spectrum of $g^sigma$, denoted by $sp(g^sigma)$. the skew energy of the oriented graph $g^sigma$, denoted by $mathcal{e}_s(g^sigma)$, is defined as the sum of the n...

The boundary chiral ring of a 2d gauged linear sigma model on a Kähler manifold X classifies the topological D-brane sectors and the massless open strings between them. While it is determined at small volume by simple group theory, its continuation to generic volume provides highly non-trivial information about the D-branes on X , related to the derived category D(X). We use this correspondence...

We discuss the semiclassical approximation to the level density of (super) strings propagating in non-compact coset manifolds G/H. We show that the WKB ansatz agrees with heuristic red-shift arguments with respect to the “exact” sigma-model metric, up to some deviations from minimal coupling, parametrized by the dilaton. This approximation is used to study thermal ensembles of free strings in b...

*Correspondence: Peng Gao, Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY 11794, USA e-mail: [email protected] We conjecture that a non-flat D-real-dimensional compact Calabi-Yau manifold, such as a quintic hypersurface with D = 6, or a K3 manifold with D = 4, has locally length minimizing closed geodesics, and that the number of these with length less th...

We describe homomorphisms $$\varphi :H\rightarrow G$$ for which G is acylindrically hyperbolic and H a topological group either completely metrizable or locally countably compact Hausdorff. It shown that, in certain sense, the image of $$ small almost continuous. also from Hawaiian earring to as above. prove more precise result {\text {Mod}}(\Sigma )$$ , where above $${\text mapping class conne...

We report the generation of up to 0.7 mW of narrow-linewidth (<60-MHz) radiation at 3.3 micrometers by difference frequency mixing of a Nd:YAG-seeded 1.6-W Yb fiber amplifier and a 1.5-micrometers diode-laser-seeded 0.6-W Er/Yb fiber amplifier in periodically poled LiNbO3. A conversion efficiency of 0.09%/W (0.47 mWW-2 cm-1) was achieved. A room-air CH4 spectrum acquired with a compact 80-m mul...

We show that the solid hull of every weakly precompact set a Banach lattice E is if and only order interval in precompact, or equivalently, disjoint compact precompact. Some results on domination property for positive operators are obtained. Among other things, we that, pair lattices F with $$\sigma $$ -Dedekind complete, operator from to dominated by either norm $$E^{\prime }$$ continuous else

This paper discusses (based on the EU project AQUA) how the core elements of three complementary approaches and standards can be integrated into one compact skill set with training and best practices to be applied. In this project experts from Automotive SPICE (ISO 15504), Functional Safety (ISO 26262) and Lean Six Sigma collaborate. In a first analysis the experts identified an architecture of...

Three structural forms of type 1 Lang reovirus (virions, intermediate subviral particles [ISVPs], and cores) have been examined by cryoelectron microscopy (cryoEM) and image reconstruction at 27 to 32-A resolution. Analysis of the three-dimensional maps and known biochemical composition allows determination of capsid protein location, globular shape, stoichiometry, quaternary organization, and ...