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Hokkaido University Preprint Series in Mathematics >
Morita-Mumford classes on finite cyclic subgroups of the mapping class group of closed surfaces
| Title: | Morita-Mumford classes on finite cyclic subgroups of the mapping class group of closed surfaces |
| Authors: | Uemura, T. Browse this author |
| Keywords: | Morita-Mumford class | | mapping class group | | Klein curve |
| Issue Date: | 1-Nov-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 435 |
| Start Page: | 1 |
| End Page: | 14 |
| Abstract: | Let G be a finite cyclic subgroup of the mapping class group of order m. We prove the Morita-Mumford classes restricted to G admit a certain kind of periodicity whose period is given by the Euler function ¢(m). Using this periodicity theorem, we compute the Morita-Mumford classes on arbitrary finite cyclic subgroups of the automorphism group of Klein's quartic curve. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69185 |
| 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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