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On the stable cohomology algebra of extended mapping class groups for surfaces
| Title: | On the stable cohomology algebra of extended mapping class groups for surfaces |
| Authors: | Kawazumi, N. Browse this author |
| Issue Date: | 1-Oct-1995 |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 311 |
| Start Page: | 1 |
| End Page: | 13 |
| Abstract: | Let :E0,1 be an oriented compact surface of genus g with 1 boundary component, and r g,1 the mapping·class group of :Eg,1 · We determine the stable cohomology group of r 0,1 with coefficients in H1 (:Eg,1; Z)®n, n l, explicitly modulo the stable cohomology group with trivial coefficients. As a corollary the rational stable cohomology algebra of the semi-direct product r g,1 1>< H1 (:E0,1; Z) (which we call the extended mapping class group) is proved to be freely generated by the generalized Morita-Mumford classes in;J 's (i 0, j 1, i + j 2) [Ka) over the rational stable cohomology algebra of the group r g,1 • |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69062 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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