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  3. Maurer–Cartan Methods in Deformation Theory
  • Cited by 7
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2023
      September 2023
      ISBN:
      9781108963800
      9781108965644
      DOI:
      https://doi.org/10.1017/9781108963800
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.27kg, 186 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets, Geometry and Topology
      Series:
      London Mathematical Society Lecture Note Series (488)
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (488)
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    Book description

    Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.

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