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Deformation theory of representations of prop(erad)s II
2009
Journal für die Reine und Angewandte Mathematik
We study the deformation theory of morphisms of properads and props thereby extending to a non-linear framework Quillen's deformation theory for commutative rings. The associated chain complex is endowed with a Lie algebra up to homotopy structure. Its Maurer-Cartan elements correspond to deformed structures, which allows us to give a geometric interpretation of these results. To do so, we endow the category of prop(erad)s with a model category structure. We provide a complete study of models
doi:10.1515/crelle.2009.084
fatcat:urkjk2uenbg6ppzm3zoyqzo5we