Parametrised moduli spaces of surfaces as infinite loop spaces
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Fulltext
Final published version, 1.19 MB, PDF document
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 |
|---|---|
| Article number | e39 |
| Journal | Forum of Mathematics, Sigma |
| Volume | 10 |
| Pages (from-to) | 1-42 |
| DOIs | |
| Publication status | Published - 2022 |
Bibliographical note
Publisher Copyright:
©
- arc system, coloured operad, free loop space, homological stability, infinite loop space, mapping class group, mapping space, moduli space
Research areas
ID: 314445957