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arXiv · 1305.4165

The deformation complex is a homotopy invariant of a homotopy algebra

Vasily Dolgushev·Thomas Willwacher
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Abstract

To a homotopy algebra one may associate its deformation complex, which is naturally a differential graded Lie algebra. We show that infinity quasi-isomorphic homotopy algebras have L-infinity quasi-isomorphic deformation complexes by an explicit construction.

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Vasily Dolgushev, Thomas Willwacher. 2013-05-17. The deformation complex is a homotopy invariant of a homotopy algebra. https://arxiv.org/abs/1305.4165

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