On deformations of pasting diagrams
| dc.citation.epage | 53 | en_US |
| dc.citation.issue | 2 | en_US |
| dc.citation.jtitle | Theory and Applications of Categories | en_US |
| dc.citation.spage | 24 | en_US |
| dc.citation.volume | 22 | en_US |
| dc.contributor.author | Yetter, David | |
| dc.contributor.authoreid | dyetter | en_US |
| dc.date.accessioned | 2015-04-17T16:43:28Z | |
| dc.date.available | 2015-04-17T16:43:28Z | |
| dc.date.issued | 2009-06-01 | |
| dc.date.published | 2009 | en_US |
| dc.description.abstract | 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. | en_US |
| dc.identifier.uri | http://hdl.handle.net/2097/18936 | |
| dc.language.iso | en_US | en_US |
| dc.relation.uri | http://www.tac.mta.ca/tac/volumes/22/2/22-02abs.html | en_US |
| dc.rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Pasting diagrams | en_US |
| dc.subject | Pasting schemes | en_US |
| dc.subject | Deformation theory | en_US |
| dc.title | On deformations of pasting diagrams | en_US |
| dc.type | Article (publisher version) | en_US |
