The purpose of this paper is to complete Getzler-Jones' proof of Deligne's Conjecture,
thereby establishing an explicit relationship between the geometry of configurations of …

The solution of Deligne's conjecture on Hochschild cochains and the formality of the operad
of little disks provide us with a natural homotopy Gerstenhaber algebra structure on the …

A recent explosion of algebraic structures derived in quantum field theory [14, 15] and in the
theory of vertex operator algebras [13] has led to the renaissance of operads and algebras …

where morphisms in all categories are just diffeomorphisms preserving relevant structures,
and GW and BK stand, respectively, for the Gromov-Witten (see, eg,[Ma1]) and Barannikov …

This is a draft of paper in which we announce a plan of an alternative proof of M. Kontsevich
formality theorem [7]. The basic idea is to equip Hochschild cochains of an associative …

A manifold is multisymplectic, or more specifically n-plectic, if it is equipped with a closed
nondegenerate differential form of degree n+ 1. In previous work with Baez and Hoffnung …

The recent explosion of algebraic structures derived in quaaatum field theory [14, 15] and in
the theory of vertex operator algebras [13] has led to a renaissance of operads and algebras …

The aim of our work is a parallel study of the two natural graded Lie algebra objects
associated to topological spaces S in traditional homotopy theory: gr* 7Ti6'(the graded Lie …

Motivated by ideas from stable homotopy theory we study the space of strongly homotopy
associative multiplications on a two-cell chain complex. In the simplest case this moduli …

Tamarkin’s proof of Kontsevich formality theorem Page 1 Forum Math. 15 (2003), 591–614 Forum
Mathematicum ( de Gruyter 2003 Tamarkin’s proof of Kontsevich formality theorem Vladimir …