Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)
Research output: Contribution to journal › Conference article › Research › peer-review
We describe a category of Feynman graphs and show how it relates to compact symmetric multicategories (coloured modular operads) just as linear orders relate to categories and rooted trees relate to multicategories. More specifically we obtain the following nerve theorem: compact symmetric multicategories can be characterised as presheaves on the category of Feynman graphs subject to a Segal condition. This text is a write-up of the second-named author's QPL6 talk; a more detailed account of this material will appear elsewhere [André Joyal and Joachim Kock. Manuscript in preparation].
Original language | English |
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Journal | Electronic Notes in Theoretical Computer Science |
Volume | 270 |
Issue number | 2 |
Pages (from-to) | 105-113 |
Number of pages | 9 |
ISSN | 1571-0661 |
DOIs | |
Publication status | Published - 14 Feb 2011 |
Externally published | Yes |
Event | Qunatum Physics and Logic VI - Oxford Duration: 8 Apr 2009 → 10 Apr 2009 |
Conference
Conference | Qunatum Physics and Logic VI |
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Location | Oxford |
Period | 08/04/2009 → 10/04/2009 |
Bibliographical note
Funding Information:
1 Supported by the NSERC of Canada 2 Invited talk 3 Email: kock@mat.uab.cat 4 Supported by research grants MTM2006-11391 and MTM2007-63277 of Spain.
- Feynman graph, modular operad, monad, multicategory, nerve theorem
Research areas
ID: 331495516