Stable splittings of surface mapping spaces

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2834-2865
Number of pages32
JournalTopology and its Applications
Volume153
Issue number15
DOIs
StatePublished - Sep 1 2006
Externally publishedYes

Bibliographical note

Funding Information:
✩ This material is based upon work supported in part by the National Science Foundation under agreement No. DMS-0111298. E-mail address: westerla@math.wisc.edu (C. Westerland).

Keywords

  • Brown-Gitler spectrum
  • Function spaces
  • Stable splitting
  • Surfaces

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