Topics in Algebraic Deformation Theory

Mathematics – Quantum Algebra

Scientific paper

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To appear in "Higher Structures in Geometry and Physics", papers in honor of M. Gerstenhaber and J. Stasheff, A. Cattanneo, A.

Scientific paper

We give a selective survey of topics in algebraic deformation theory ranging
from its inception to current times. Throughout, the numerous contributions of
Murray Gerstenhaber are emphasized, especially the common themes of cohomology,
infinitesimal methods, and explicit global deformation formulas.

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