Parametrised moduli spaces of surfaces as infinite loop spaces

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Parametrised moduli spaces of surfaces as infinite loop spaces. / Bianchi, Andrea; Kranhold, Florian; Reinhold, Jens.

In: Forum of Mathematics, Sigma, Vol. 10, e39, 2022, p. 1-42.

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

Harvard

Bianchi, A, Kranhold, F & Reinhold, J 2022, 'Parametrised moduli spaces of surfaces as infinite loop spaces', Forum of Mathematics, Sigma, vol. 10, e39, pp. 1-42. https://doi.org/10.1017/fms.2022.29

APA

Bianchi, A., Kranhold, F., & Reinhold, J. (2022). Parametrised moduli spaces of surfaces as infinite loop spaces. Forum of Mathematics, Sigma, 10, 1-42. [e39]. https://doi.org/10.1017/fms.2022.29

Vancouver

Bianchi A, Kranhold F, Reinhold J. Parametrised moduli spaces of surfaces as infinite loop spaces. Forum of Mathematics, Sigma. 2022;10:1-42. e39. https://doi.org/10.1017/fms.2022.29

Author

Bianchi, Andrea ; Kranhold, Florian ; Reinhold, Jens. / Parametrised moduli spaces of surfaces as infinite loop spaces. In: Forum of Mathematics, Sigma. 2022 ; Vol. 10. pp. 1-42.

Bibtex

@article{9bfe36b2d8aa46a19d41494a64655e0d,
title = "Parametrised moduli spaces of surfaces as infinite loop spaces",
abstract = "We study the -algebra consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised boundary component, and compute the homotopy type of the group completion: it is the product of with a certain free -space depending on the family of all boundary-irreducible mapping classes in all mapping class groups with and. ",
keywords = "arc system, coloured operad, free loop space, homological stability, infinite loop space, mapping class group, mapping space, moduli space",
author = "Andrea Bianchi and Florian Kranhold and Jens Reinhold",
note = "Publisher Copyright: {\textcopyright} ",
year = "2022",
doi = "10.1017/fms.2022.29",
language = "English",
volume = "10",
pages = "1--42",
journal = "Forum of Mathematics, Sigma",
issn = "2050-5094",
publisher = "Cambridge University Press",

}

RIS

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T1 - Parametrised moduli spaces of surfaces as infinite loop spaces

AU - Bianchi, Andrea

AU - Kranhold, Florian

AU - Reinhold, Jens

N1 - Publisher Copyright: ©

PY - 2022

Y1 - 2022

N2 - We study the -algebra consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised boundary component, and compute the homotopy type of the group completion: it is the product of with a certain free -space depending on the family of all boundary-irreducible mapping classes in all mapping class groups with and.

AB - We study the -algebra consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised boundary component, and compute the homotopy type of the group completion: it is the product of with a certain free -space depending on the family of all boundary-irreducible mapping classes in all mapping class groups with and.

KW - arc system

KW - coloured operad

KW - free loop space

KW - homological stability

KW - infinite loop space

KW - mapping class group

KW - mapping space

KW - moduli space

UR - http://www.scopus.com/inward/record.url?scp=85132019076&partnerID=8YFLogxK

U2 - 10.1017/fms.2022.29

DO - 10.1017/fms.2022.29

M3 - Journal article

AN - SCOPUS:85132019076

VL - 10

SP - 1

EP - 42

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

SN - 2050-5094

M1 - e39

ER -

ID: 314445957