625 citations · 1.6k across the 32 of their papers we have counts for
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hep-th1997★ 5 cited
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…
hep-th1997★ 87 cited
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…
q-alg1997★ 70 cited
Deformation Theory and the Batalin-Vilkovisky Master Equation
Jim Stasheff
The Batalin-Vilkovisky master equations, both classical and quantum, are precisely the integrability equations for deformations of algebras and differential algebras respectively.…