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- HOSSEIN ABBASPOUR, MAHMOUD ZEINALIAN
- 2008

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)

- Hossein Abbaspour, Ralph L. Cohen, Kate Gruher
- 2005

Let G be a Poincaré duality group of dimension n. For a given element g ∈ G, let Cg denote its centralizer subgroup. Let LG be the graded abelian group defined by (LG)p = ⊕ [g] Hp+n(Cg) where the sum is taken over conjugacy classes of elements in G. In this paper we construct a multiplication on LG directly in terms of intersection products on the… (More)

- HOSSEIN ABBASPOUR, MAHMOUD ZEINALIAN
- 2006

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)

We prove that the Hochschild homology (and cohomology) of a symmetric open Frobenius algebra A has a natural coBV and BV structure. The underlying coalgebra and algebra structure may not be resp. counital and unital. Moreover we prove that the product and coproduct satisfy the Frobenius compatibility condition i.e. the coproduct on HH * (A) is a map of left… (More)

We first review various known algebraic structures on the Hochschild (co)homology of a differential graded algebras under weak Poincaré duality hypothesis, such as Calabi-Yau algebras, derived Poincaré duality algebras and closed Frobenius algebras. This includes a BV-algebra structure on HH * (A, A ∨) or HH * (A, A), which in the latter case is an… (More)

- HOSSEIN ABBASPOUR, DAVID CHATAUR
- 2009

In this paper we introduce various associative products on the homology of the space of knots and singular knots in S n. We prove that these products are related through a desingularization map. We also compute some of these products and prove the nontriviality of the desingularization morphism.

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