2022-05-18T20:59:38Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690742018-04-25T23:44:06Zhdl_2115_45007hdl_2115_116An infinitesimal approach to the stable cohomology of the moduli of Riemann surfacesKawazmi, N.410In 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].Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69074info:doi/10.14943/83470https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69074/1/pre323.pdfHokkaido University Preprint Series in Mathematics3231221995-12-01engpublisher