Noncommutative Deformation Theory is aimed at mathematicians and
physicists studying the local structure of moduli spaces in
algebraic geometry. This book introduces a general theory of
noncommutative deformations, with applications to the study of
moduli spaces of representations of associative algebras and to
quantum theory in physics. An essential part of this theory is the
study of obstructions of liftings of representations using
generalised (matric) Massey products. Suitable for researchers in
algebraic geometry and mathematical physics interested in the
workings of noncommutative algebraic geometry, it may also be
useful for advanced graduate students in these fields.
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