Diagrams encoding group actions on Γ-spaces

Julia E. Bergner; Philip Hackney

doi:10.1090/conm/682/13803

Diagrams encoding group actions on Γ-spaces

Julia E. Bergner, Philip Hackney

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

We introduce, for any group G, a category GΓ such that diagrams GΓ → SSets satisfying a Segal condition correspond to infinite loop spaces with a G-action. We also consider diagrams which encode group actions on infinite loop spaces where the group may vary.

Original language	English
Title of host publication	Manifolds and K-theory
Subtitle of host publication	conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia
Editors	Gregory Arone, Brenda Johnson, Pascal Lambrechts, Brian A. Munson, Ismar Volić
Place of Publication	Providence, Rhode Island
Publisher	American Mathematical Society
Pages	39-50
Number of pages	12
ISBN (Electronic)	9781470436650
ISBN (Print)	9781470417000
DOIs	https://doi.org/10.1090/conm/682/13803
Publication status	Published - 2017
Externally published	Yes
Event	Manifolds, K-Theory, and Related Topics - Dubrovnik, Croatia Duration: 23 Jun 2014 → 27 Jun 2014

Publication series

Name	Contemporary mathematics
Publisher	American Mathematical Society
Volume	682
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Conference

Conference	Manifolds, K-Theory, and Related Topics
Country/Territory	Croatia
City	Dubrovnik
Period	23/06/14 → 27/06/14

Access to Document

10.1090/conm/682/13803

Cite this

Bergner, J. E., & Hackney, P. (2017). Diagrams encoding group actions on Γ-spaces. In G. Arone, B. Johnson, P. Lambrechts, B. A. Munson, & I. Volić (Eds.), Manifolds and K-theory: conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia (pp. 39-50). (Contemporary mathematics; Vol. 682). American Mathematical Society. https://doi.org/10.1090/conm/682/13803

Bergner, Julia E. ; Hackney, Philip. / Diagrams encoding group actions on Γ-spaces. Manifolds and K-theory: conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia. editor / Gregory Arone ; Brenda Johnson ; Pascal Lambrechts ; Brian A. Munson ; Ismar Volić. Providence, Rhode Island : American Mathematical Society, 2017. pp. 39-50 (Contemporary mathematics).

@inproceedings{8345901051204610b58fe8746e932777,

title = "Diagrams encoding group actions on Γ-spaces",

abstract = "We introduce, for any group G, a category GΓ such that diagrams GΓ → SSets satisfying a Segal condition correspond to infinite loop spaces with a G-action. We also consider diagrams which encode group actions on infinite loop spaces where the group may vary.",

author = "Bergner, {Julia E.} and Philip Hackney",

year = "2017",

doi = "10.1090/conm/682/13803",

language = "English",

isbn = "9781470417000",

series = "Contemporary mathematics",

publisher = "American Mathematical Society",

pages = "39--50",

editor = "Gregory Arone and Brenda Johnson and Pascal Lambrechts and Munson, {Brian A.} and Ismar Voli{\'c}",

booktitle = "Manifolds and K-theory",

address = "United States",

note = "Manifolds, K-Theory, and Related Topics ; Conference date: 23-06-2014 Through 27-06-2014",

}

Bergner, JE & Hackney, P 2017, Diagrams encoding group actions on Γ-spaces. in G Arone, B Johnson, P Lambrechts, BA Munson & I Volić (eds), Manifolds and K-theory: conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia. Contemporary mathematics, vol. 682, American Mathematical Society, Providence, Rhode Island, pp. 39-50, Manifolds, K-Theory, and Related Topics, Dubrovnik, Croatia, 23/06/14. https://doi.org/10.1090/conm/682/13803

Diagrams encoding group actions on Γ-spaces. / Bergner, Julia E.; Hackney, Philip.

Manifolds and K-theory: conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia. ed. / Gregory Arone; Brenda Johnson; Pascal Lambrechts; Brian A. Munson; Ismar Volić. Providence, Rhode Island : American Mathematical Society, 2017. p. 39-50 (Contemporary mathematics; Vol. 682).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AU - Hackney, Philip

PY - 2017

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N2 - We introduce, for any group G, a category GΓ such that diagrams GΓ → SSets satisfying a Segal condition correspond to infinite loop spaces with a G-action. We also consider diagrams which encode group actions on infinite loop spaces where the group may vary.

AB - We introduce, for any group G, a category GΓ such that diagrams GΓ → SSets satisfying a Segal condition correspond to infinite loop spaces with a G-action. We also consider diagrams which encode group actions on infinite loop spaces where the group may vary.

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M3 - Conference proceeding contribution

AN - SCOPUS:85029355809

SN - 9781470417000

T3 - Contemporary mathematics

SP - 39

EP - 50

BT - Manifolds and K-theory

A2 - Arone, Gregory

A2 - Johnson, Brenda

A2 - Lambrechts, Pascal

A2 - Munson, Brian A.

A2 - Volić, Ismar

PB - American Mathematical Society

CY - Providence, Rhode Island

T2 - Manifolds, K-Theory, and Related Topics

Y2 - 23 June 2014 through 27 June 2014

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Bergner JE, Hackney P. Diagrams encoding group actions on Γ-spaces. In Arone G, Johnson B, Lambrechts P, Munson BA, Volić I, editors, Manifolds and K-theory: conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia. Providence, Rhode Island: American Mathematical Society. 2017. p. 39-50. (Contemporary mathematics). https://doi.org/10.1090/conm/682/13803

Diagrams encoding group actions on Γ-spaces

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