On Deformations of Pasting Diagrams

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dc.creatorYetter, D. N.
dc.date2007-09-24
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:43:06Z
dc.date.available2026-07-07T12:43:06Z
dc.descriptionWe 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 $k$-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.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0709.3778
dc.identifierhttp://arxiv.org/abs/0709.3778
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220304
dc.subjectCategory Theory
dc.subject18E05 (Primary); 16E40 (Secondary)
dc.titleOn Deformations of Pasting Diagrams
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