## On Deformations of Pasting Diagrams 1 (709)

by
D. N. Yetter

### BibTeX

@MISC{Yetter709ondeformations,

author = {D. N. Yetter},

title = {On Deformations of Pasting Diagrams 1},

year = {709}

}

### OpenURL

### Abstract

Abstract: We adapt the work of Power [13] to describe general, not-necessarily composable, notnecessarily commutative 2-categorical pasting diagrams and their composable and commutative parts. We provide a deformation theory for pasting diagrams valued in k-linear categories, paralleling that provided for diagrams of algebras by Gerstenhaber and Schack [9], proving the standard results. Along the way, the construction gives rise to a bicategorical analog of the homotopy G-algebras of Gerstenhaber and Voronov [10].