153 research outputs found
On Deformations of Pasting Diagrams
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 -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.Comment: 31 page
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