We study the homotopy type of mapping spaces from Riemann surfaces to spheres. Our main result is a stable splitting of these spaces into a bouquet of new finite spectra. From this and classical results, one may deduce splittings of the configuration spaces of surfaces.
Bibliographical noteFunding Information:
✩ This material is based upon work supported in part by the National Science Foundation under agreement No. DMS-0111298. E-mail address: firstname.lastname@example.org (C. Westerland).
- Brown-Gitler spectrum
- Function spaces
- Stable splitting