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math.AG2007
The sh-Lie algebra perturbation Lemma
Johannes Huebschmann
Let R be a commutative ring which contains the rationals as a subring and let g be a chain complex. Suppose given an sh-Lie algebra structure on g, that is, a coalgebra perturbatio…
math.AG2007
The Lie algebra perturbation lemma
Johannes Huebschmann
Let g be a differential graded Lie algebra and suppose given a contraction of chain complexes of g onto a general chain complex M. We show that the data determine an sh-Lie algebra…
math.AG1999★ 53 cited
Formal solution of the master equation via HPT and deformation theory
Johannes Huebschmann, Jim Stasheff
We construct a solution of the master equation by means of standard tools from homological perturbation theory under just the hypothesis that the ground field be of characteristic…