2,633 research outputs found
Circle bundles over 4-manifolds
Every 1-connected topological 4-manifold M admits a -covering by
#_{r-1}S^{2}\times S^{3}, where rankH^{2}(M;\QTR{Bbb}{Z}).Comment: 6 pages to appear in Archiv der Mat
Network synchronizability analysis: the theory of subgraphs and complementary graphs
In this paper, subgraphs and complementary graphs are used to analyze the
network synchronizability. Some sharp and attainable bounds are provided for
the eigenratio of the network structural matrix, which characterizes the
network synchronizability, especially when the network's corresponding graph
has cycles, chains, bipartite graphs or product graphs as its subgraphs.Comment: 13 pages, 7 figure
DNA nanotechnology-enabled chiral plasmonics: from static to dynamic
In this Account, we discuss a variety of static and dynamic chiral plasmonic
nanostructures enabled by DNA nanotechnology. In the category of static
plasmonic systems, we first show chiral plasmonic nanostructures based on
spherical AuNPs, including plasmonic helices, toroids, and tetramers. To
enhance the CD responses, anisotropic gold nanorods with larger extinction
coefficients are utilized to create chiral plasmonic crosses and helical
superstructures. Next, we highlight the inevitable evolution from static to
dynamic plasmonic systems along with the fast development of this
interdisciplinary field. Several dynamic plasmonic systems are reviewed
according to their working mechanisms.Comment: 7 figure
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