625 citations · 1.6k across the 32 of their papers we have counts for
8 papers · 1 filter
Homotopy algebra of open-closed strings
Hiroshige Kajiura, Jim Stasheff
This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration space…
Open-closed homotopy algebra in mathematical physics
Hiroshige Kajiura, Jim Stasheff
In this paper we discuss various aspects of open-closed homotopy algebras (OCHAs) presented in our previous paper, inspired by Zwiebach's open-closed string field theory, but that…
The (secret?) homological algebra of the Batalin-Vilkovisky approach
Jim Stasheff
This is a survey of `Cohomological Physics', a phrase that first appeared in the context of anomalies in gauge theory. Differential forms were implicit in physics at least as far b…
The sh Lie structure of Poisson brackets in field theory
G. Barnich, R. Fulp, T. Lada +1
A general construction of an sh Lie algebra from a homological resolution of a Lie algebra is given. It is applied to the space of local functionals equipped with a Poisson bracket…
On operad structures of moduli spaces and string theory
T. Kimura, J. Stasheff, A. A. Voronov
Recent algebraic structures of string theory, including homotopy Lie algebras, gravity algebras and Batalin-Vilkovisky algebras, are deduced from the topology of the moduli spaces…
Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli space
Jim Stasheff
This is an expanded and updated version of a talk given at the Conference on Topics in Geometry and Physics at the University of Southern California, November 6, 1992. It is a surv…