Geodesic
On deformations of pasting diagrams
Theory and applications of categories, Tome 22 (2009), pp. 24-53

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.

Classification : Primary: 18D05, 13D03, Secondary: 18E05
Keywords: pasting diagrams, pasting schemes, deformation theory 
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     author = {D. N. Yetter},
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D. N. Yetter. On deformations of pasting diagrams. Theory and applications of categories, Tome 22 (2009), pp. 24-53. http://geodesic.mathdoc.fr/item/TAC_2009_22_a1/