Volume 10 (2007)

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Interactions of strings and equivariant homology theories

Shingo Okuyama and Kazuhisa Shimakawa

Geometry & Topology Monographs 10 (2007) 333–346

DOI: 10.2140/gtm.2007.10.333

arXiv: 0903.4667

Abstract

We introduce the notion of the space of parallel strings with partially summable labels, which can be viewed as a geometrically constructed group completion of the space of particles with labels. We utilize this to construct a machinery which produces equivariant generalized homology theories from such simple and abundant data as partial monoids.

Keywords

equivariant homology theory, partial monoid, configuration space

Mathematical Subject Classification

Primary: 55N20, 55N91

Secondary: 55P47

References
Publication

Received: 13 September 2004
Revised: 13 May 2006
Published: 18 April 2007

Authors
Shingo Okuyama
Takuma National College of Technology
Kagawa 769-1192
Japan
Kazuhisa Shimakawa
Takuma National College of Technology
Kagawa 769-1192
Japan