Homology of the open moduli space of curves
Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
This is a survey on the proof of a generalized version of the Mumford conjecture obtained in joint work with M. Weiss stating that a certain map between some classifying spaces which a priori have different natures induces an isomorphism at the level of integral homology. We also discuss our proof of the original Mumford conjecture stating that the stable rational cohomology of the moduli space of Riemann surfaces is a certain polynomial algebra generated by the Mumford–Morita–Miller cohomology classes of even degrees.
Original language | English |
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Title of host publication | Handbook of Teichmüller Theory |
Editors | Athanase Papadopoulos |
Volume | 3 |
Publisher | European Mathematical Society |
Publication date | 2012 |
Pages | 717–746 |
ISBN (Print) | 978-3-03719-103-3 |
DOIs | |
Publication status | Published - 2012 |
Series | I R M A Lectures in Mathematics and Theoretical Physics |
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Volume | 17 |
ID: 45172473