A simplicial model for infinity properads

Philip Hackney; Marcy Robertson; Donald Yau

A simplicial model for infinity properads

Philip Hackney, Marcy Robertson, Donald Yau

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Abstract

We show how the model structure on the category of simplicially-enriched (colored) props induces a model structure on the category of simplicially-enriched (colored) properads. A similar result holds for dioperads.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Higher Structures
Volume	1
Issue number	1
Publication status	Published - 2017

Bibliographical note

Copyright the Author(s) 2017. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Keywords

Properads
dioperads
infinity properads
model categories
cofibrantly generated model categories
simplicial categories

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Publisher version (open access)Final published version, 458 KBLicence: CC BY

https://journals.mq.edu.au/index.php/higher_structures/article/view/17Licence: CC BY

Cite this

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title = "A simplicial model for infinity properads",

abstract = "We show how the model structure on the category of simplicially-enriched (colored) props induces a model structure on the category of simplicially-enriched (colored) properads. A similar result holds for dioperads.",

keywords = "Properads, dioperads, infinity properads, model categories, cofibrantly generated model categories, simplicial categories",

author = "Philip Hackney and Marcy Robertson and Donald Yau",

note = "Copyright the Author(s) 2017. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.",

year = "2017",

language = "English",

volume = "1",

pages = "1--21",

journal = "Higher Structures",

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AU - Hackney, Philip

AU - Robertson, Marcy

AU - Yau, Donald

N1 - Copyright the Author(s) 2017. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

PY - 2017

Y1 - 2017

N2 - We show how the model structure on the category of simplicially-enriched (colored) props induces a model structure on the category of simplicially-enriched (colored) properads. A similar result holds for dioperads.

AB - We show how the model structure on the category of simplicially-enriched (colored) props induces a model structure on the category of simplicially-enriched (colored) properads. A similar result holds for dioperads.

KW - Properads

KW - dioperads

KW - infinity properads

KW - model categories

KW - cofibrantly generated model categories

KW - simplicial categories

M3 - Article

SN - 2209-0606

VL - 1

SP - 1

EP - 21

JO - Higher Structures

JF - Higher Structures

IS - 1

ER -

A simplicial model for infinity properads

Abstract

Bibliographical note

Keywords

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Cite this