2012/02/14 by Fialowski, Alice, Mukherjee, Goutam, Naolekar, Anita
#FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.1202.2967
We develop deformation theory of algebras over quadratic operads where the parameter space is a commutative local algebra. We also give a construction of a distinguised deformation of an algebra over a quadratic operad with a complete local algebra as its base--the so called `versal deformation'--which induces all other deformations of the given algebra.