Parametrised moduli spaces of surfaces as infinite loop spaces
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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.
Original language | English |
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Article number | e39 |
Journal | Forum of Mathematics, Sigma |
Volume | 10 |
Pages (from-to) | 1-42 |
DOIs | |
Publication status | Published - 2022 |
Bibliographical note
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- arc system, coloured operad, free loop space, homological stability, infinite loop space, mapping class group, mapping space, moduli space
Research areas
ID: 314445957