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In this paper we construct a Lie algebra representation of the algebraic string bracket on negative cyclic cohomology of an associative algebra with appropriate duality. This is a generalized algebraic version of the main theorem of [AZ] which extends Goldman's results using string topology operations .The main result can be applied to the de Rham complex(More)
Let G → P → M be a flat principal bundle over a closed and oriented manifold M of dimension m = 2d. We construct a map of Lie algebras Ψ : H eq 2 * (LM) → C ∞ (MC), where H eq 2 * (LM) is the even dimensional part of the equivariant homology of LM , the free loop space of M , and MC is the Maurer-Cartan moduli space of the graded differential Lie algebra Ω(More)
Salinity, a severe environmental factor, has limited the growth and productivity of crops. Many compounds have been applied to minimize the harmful effects of salt stress on plant growth. An experiment was conducted to investigate the interactive effects of exogenous ascorbic acid (AsA) and gibberellic acid (GA3) on common bean (Phaseolus vulgaris L. cv.(More)
Let M be a closed, oriented and smooth manifold of dimension d. Let LM be the space of smooth loops in M. In [5] Chas and Sullivan introduced loop product, a product of degree −d on the homology of LM. In this paper we show how for three manifolds the " nontriviality " of the loop product relates to the " hyperbolicity " of the underlying manifold. This is(More)
This paper reports a novel green approach for the synthesis of silver nanoparticles (AgNPs) using aqueous seed extract of Dracocephalum moldavica (L.) under ambient conditions. Processes such as Ultraviolet-visible (UV-vis) spectrometer, field emission scanning electron microscopy (FESEM), X-ray diffraction (XRD), Fourier transform infrared spectroscopy(More)
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