The Deformation Complex is a Homotopy Invariant of a Homotopy Algebra

  • Vasily DolgushevEmail author
  • Thomas Willwacher
Part of the Developments in Mathematics book series (DEVM, volume 38)


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

Key words

Algebraic operads Homotopy algebras 

Mathematics Subject Classification (2010):




We would like to thank Bruno Vallette for useful discussions.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of MathematicsTemple UniversityPhiladelphiaUSA
  2. 2.Department of MathematicsETH ZürichZürichSwitzerland

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