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.
I: Forum of Mathematics, Sigma, Bind 10, e39, 2022, s. 1-42.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
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