Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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MAPPING CLASS GROUP OPERAD

  • Received : 2001.08.06
  • Published : 2001.09.30
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Abstract

We construct an operad which is called the mapping class group operad. Its structure map is induced by the attachings of surfaces. The similar operad was constructed by Tillmann in order prove that ${\Gamma}^+_{\infty}$ is an infinite loop space. Our operad is rather simpler and easier to deal with.

Keywords

Acknowledgement

Supported by : INHA UNIVERSITY