9 citations · 27 across the 8 of their papers we have counts for
9 papers
Morse complexes and multiplicative structures
Hossein Abbaspour, Francois Laudenbach
In this article we lay out the details of Fukaya's -structure of the Morse complexe of a manifold possibly with boundary. We show that this -structure is homoto…
On the Hochschild homology of open Frobenius algebras
Hossein Abbaspour
We prove that the shifted Hochschild chain complex of a symmetric open Frobenius algebra of degree has a natural homotopy coBV-algebra structure. As a conseq…
On algebraic structures of the Hochschild complex
Hossein Abbaspour
We first review various known algebraic structures on the Hochschild (co)homology of a differential graded algebras under weak Poincar{é} duality hypothesis, such as Calabi-Yau alg…
On 2-Holonomy
Hossein Abbaspour, Friedrich Wagemann
We construct a cycle in higher Hochschild homology associated to the 2-dimensional torus which represents 2-holonomy of a non-abelian gerbe in the same way the ordinary holonomy of…
On the homology of the space of singular knots
Hossein Abbaspour, David Chataur
In this paper we introduce various associative products on the homology of the space of knots and singular knots in . We prove that these products are related through a desing…
Algebraic string bracket as a Poisson bracket
Hossein Abbaspour, Thomas Tradler, Mahmoud Zeinalian
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…