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An infinitesimal approach to the stable cohomology of the moduli of Riemann surfaces
| Title: | An infinitesimal approach to the stable cohomology of the moduli of Riemann surfaces |
| Authors: | Kawazmi, N. Browse this author |
| Issue Date: | 1-Dec-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 323 |
| Start Page: | 1 |
| End Page: | 22 |
| Abstract: | In this note we review an infinitesimal approach to the stable coho mology of the moduli of compact Riemann surfaces by means of complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces. Under a hypothesis (a certain kind of the Frobenius Reciprocity Laws) we prove the (p, q)-equivariant cohomology of the dressed moduli of compact Riemann surfaces coincides with the polynomial algebra generated by the Morita-Mumford classes en = K.n (n 1) [Mo] [Mu] for p q. This suggests it is reasonable to conjecture that the stable cohomology algebra of the moduli of compact Riemann surfaces would be generated by the Morita-Mumford classes en's. For a more detailed description the reader is referred to [Kal,2,4,5]. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69074 |
| 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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