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 centralizers. This multiplicationâ€¦ (More)

We prove that the shifted Hochschild chain complex Câˆ—(A,A)[m] of a symmetric open Frobenius algebra A of degree m has a natural homotopy coBV-algebra structure. As a consequence HHâˆ—(A,A)[m]â€¦ (More)

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 generalizedâ€¦ (More)

Let G â†’ P â†’ M be a flat principal bundle over a closed and oriented manifold M of dimension m = 2d. We construct a map of Lie algebras Î¨ : H 2âˆ—(LM) â†’ C (MC), where H 2âˆ—(LM) is the even dimensionalâ€¦ (More)

In this paper, for the first time we present a self-consistent opto-electro-thermal model to analyze the influence of homogeneous and inhomogeneous broadening on the modulation response of 1.3-Î¼mâ€¦ (More)

In this paper we introduce various associative products on the homology of the space of knots and singular knots in Sn. We prove that these products are related through a desingularization map. Weâ€¦ (More)