On deformations of pasting diagrams

D. N. Yetter

We adapt the work of Power to describe general, not-necessarily composable, not-necessarily commutative 2-categorical pasting diagrams and their composable and commutative parts. We provide a deformation theory for pasting diagrams valued in the 2-category of k-linear categories, paralleling that provided for diagrams of algebras by Gerstenhaber and Schack, proving the standard results. Along the way, the construction gives rise to a bicategorical analog of the homotopy G-algebras of Gerstenhaber and Voronov.

Keywords: pasting diagrams, pasting schemes, deformation theory

2000 MSC: Primary: 18D05, 13D03, Secondary: 18E05

Theory and Applications of Categories, Vol. 22, 2009, No. 2, pp 24-53.


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