Cospan construction of the graph category of Borisov and Manin

Joachim Kock

doi:10.5565/PUBLMAT6221802

Cospan construction of the graph category of Borisov and Manin

Joachim Kock

Departament de Matemàtiques

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Resum

© 2018 Universitat Autonoma de Barcelona. All rights reserved. It is shown how the graph category of Borisov and Manin can be constructed from (a variant of) the graph category of Joyal and Kock, essentially by reversing the generic morphisms. More precisely, the morphisms in the Borisov-Manin category are exhibited as cospans of reduced covers and refinement morphisms.

Idioma original	Anglès
Pàgines (de-a)	331-353
Revista	Publicacions Matematiques
Volum	62
Número	2
DOIs	https://doi.org/10.5565/PUBLMAT6221802
Estat de la publicació	Publicada - 1 de gen. 2018

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10.5565/PUBLMAT6221802

https://ddd.uab.cat/record/191235

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title = "Cospan construction of the graph category of Borisov and Manin",

abstract = "{\textcopyright} 2018 Universitat Autonoma de Barcelona. All rights reserved. It is shown how the graph category of Borisov and Manin can be constructed from (a variant of) the graph category of Joyal and Kock, essentially by reversing the generic morphisms. More precisely, the morphisms in the Borisov-Manin category are exhibited as cospans of reduced covers and refinement morphisms.",

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author = "Joachim Kock",

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AU - Kock, Joachim

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AB - © 2018 Universitat Autonoma de Barcelona. All rights reserved. It is shown how the graph category of Borisov and Manin can be constructed from (a variant of) the graph category of Joyal and Kock, essentially by reversing the generic morphisms. More precisely, the morphisms in the Borisov-Manin category are exhibited as cospans of reduced covers and refinement morphisms.

KW - Graphs

KW - Generalised operads

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UR - https://www.scopus.com/pages/publications/85049026208

U2 - 10.5565/PUBLMAT6221802

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M3 - Article

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Cospan construction of the graph category of Borisov and Manin

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