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## Homotopy G -algebras and moduli space operad

- M. Gerstenhaber, A. Voronov
- Mathematics
- 12 September 1994

This paper emphasizes the ubiquitous role of mod- uli spaces of algebraic curves in associative algebra and algebraic topology. The main results are: (1) the space of an operad with multiplication is… Expand

## On operad structures of moduli spaces and string theory

- T. Kimura, J. Stasheff, A. Voronov
- Mathematics
- 19 July 1993

We construct a real compactification of the moduli space of punctured rational algebraic curves and show how its geometry yields operads governing homotopy Lie algebras, gravity algebras and… Expand

## Cohomology of Conformal Algebras

- B. Bakalov, V. Kac, A. Voronov
- Mathematics
- 7 March 1998

Abstract:The notion of a conformal algebra encodes an axiomatic description of the operator product expansion of chiral fields in conformal field theory. On the other hand, it is an adequate tool for… Expand

## Homotopy Gerstenhaber algebras

- A. Voronov
- Mathematics
- 10 August 1999

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 points in the plane and… Expand

## Notes on universal algebra

- A. Voronov
- Mathematics
- 1 November 2001

These are notes of a mini-course given at Dennisfest in June 2001. The goal of these notes is to give a self-contained survey of deformation quan- tization, operad theory, and graph homology. Some… Expand

## Cohomology and deformation of Leibniz pairs

- M. Flato, M. Gerstenhaber, A. Voronov
- Mathematics
- 6 February 1995

Cohomology and deformation theories are developed for Poisson algebras starting with the more general concept of a Leibniz pair, namely of an associative algebraA together with a Lie algebraL mapped… Expand

## Geometry of superconformal manifolds

- A. Rosly, A. Schwarz, A. Voronov
- Physics, Mathematics
- 1 March 1988

The main facts about complex curves are generalized to superconformal manifolds. The results thus obtained are relevant to the fermion string theory and, in particular, they are useful for… Expand

## Homotopy Gerstenhaber algebras and topological field theory

- T. Kimura, A. Voronov, G. Zuckerman
- Mathematics
- 2 February 1996

We prove that the BRST complex of a topological conformal field theory is a homotopy Gerstenhaber algebra, as conjectured by Lian and Zuckerman in 1992. We also suggest a refinement of the original… Expand

## Higher operations on the Hochschild complex

- A. Voronov, M. Gerstenhaber
- Mathematics
- 1995

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 with several… Expand

## String Topology and Cyclic Homology

- R. Cohen, K. Hess, A. Voronov
- Mathematics
- 21 March 2006

Notes on String Topology.- Intersection theory in loop spaces.- The cacti operad.- Field theoretic properties of string topology.- A Morse theoretic viewpoint.- Brane topology.- An Algebraic Model… Expand

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