Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)

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Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract). / Joyal, André; Kock, Joachim.

In: Electronic Notes in Theoretical Computer Science, Vol. 270, No. 2, 14.02.2011, p. 105-113.

Research output: Contribution to journal › Conference article › Research › peer-review

Harvard

Joyal, A & Kock, J 2011, 'Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)', Electronic Notes in Theoretical Computer Science, vol. 270, no. 2, pp. 105-113. https://doi.org/10.1016/j.entcs.2011.01.025

APA

Joyal, A., & Kock, J. (2011). Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract). Electronic Notes in Theoretical Computer Science, 270(2), 105-113. https://doi.org/10.1016/j.entcs.2011.01.025

Vancouver

Joyal A, Kock J. Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract). Electronic Notes in Theoretical Computer Science. 2011 Feb 14;270(2):105-113. https://doi.org/10.1016/j.entcs.2011.01.025

Author

Joyal, André ; Kock, Joachim. / Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract). In: Electronic Notes in Theoretical Computer Science. 2011 ; Vol. 270, No. 2. pp. 105-113.

Bibtex

@inproceedings{48eccafd65b84ac2a5c55405c6a48b51,
title = "Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)",
abstract = "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 [Andr{\'e} Joyal and Joachim Kock. Manuscript in preparation].",
keywords = "Feynman graph, modular operad, monad, multicategory, nerve theorem",
author = "Andr{\'e} Joyal and Joachim Kock",
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.; Qunatum Physics and Logic VI, QPL6 ; Conference date: 08-04-2009 Through 10-04-2009",
year = "2011",
month = feb,
day = "14",
doi = "10.1016/j.entcs.2011.01.025",
language = "English",
volume = "270",
pages = "105--113",
journal = "Electronic Notes in Theoretical Computer Science",
issn = "1571-0661",
publisher = "Elsevier",
number = "2",

}

RIS

TY - GEN

T1 - Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)

AU - Joyal, André

AU - Kock, Joachim

N1 - 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.

PY - 2011/2/14

Y1 - 2011/2/14

N2 - 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].

AB - 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].

KW - Feynman graph

KW - modular operad

KW - monad

KW - multicategory

KW - nerve theorem

UR - http://www.scopus.com/inward/record.url?scp=79751495062&partnerID=8YFLogxK

U2 - 10.1016/j.entcs.2011.01.025

DO - 10.1016/j.entcs.2011.01.025

M3 - Conference article

AN - SCOPUS:79751495062

VL - 270

SP - 105

EP - 113

JO - Electronic Notes in Theoretical Computer Science

JF - Electronic Notes in Theoretical Computer Science

SN - 1571-0661

IS - 2

T2 - Qunatum Physics and Logic VI

Y2 - 8 April 2009 through 10 April 2009

ER -

ID: 331495516