Stable splittings of surface mapping spaces

Craig Westerland

doi:10.1016/j.topol.2005.12.004

Stable splittings of surface mapping spaces

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	2834-2865
Number of pages	32
Journal	Topology and its Applications
Volume	153
Issue number	15
DOIs	https://doi.org/10.1016/j.topol.2005.12.004
State	Published - Sep 1 2006
Externally published	Yes

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

Access

10.1016/j.topol.2005.12.004

OpenUrl availability

Full text

Cite this

@article{3385b17577c749708c45bffd46c34cbc,

title = "Stable splittings of surface mapping spaces",

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.",

keywords = "Brown-Gitler spectrum, Function spaces, Stable splitting, Surfaces",

author = "Craig Westerland",

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).",

year = "2006",

month = sep,

day = "1",

doi = "10.1016/j.topol.2005.12.004",

language = "English (US)",

volume = "153",

pages = "2834--2865",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier",

number = "15",

}

TY - JOUR

T1 - Stable splittings of surface mapping spaces

AU - Westerland, Craig

N1 - 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).

PY - 2006/9/1

Y1 - 2006/9/1

N2 - 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.

AB - 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.

KW - Brown-Gitler spectrum

KW - Function spaces

KW - Stable splitting

KW - Surfaces

UR - http://www.scopus.com/inward/record.url?scp=33746675576&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746675576&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2005.12.004

DO - 10.1016/j.topol.2005.12.004

M3 - Article

AN - SCOPUS:33746675576

SN - 0166-8641

VL - 153

SP - 2834

EP - 2865

JO - Topology and its Applications

JF - Topology and its Applications

IS - 15

ER -

Stable splittings of surface mapping spaces

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this