Infinitesimal Presentations of the Torelli Groups
نویسنده
چکیده
Contents 1. Introduction 597 2. Braid groups in positive genus 601 3. Relative completion of mapping class groups 603 4. Mixed Hodge structures on Torelli groups 608 5. Review of continuous cohomology 613 6. Remarks on the representations of sp g 616 7. Continuous cohomology of Torelli groups 618 8. The lower central series quotients of a surface group 621 9. The action of t 1 g on p g 623 10. Quadratic relations 625 11. Presentations of t g , t g,1 and t 1 g 628 12. A presentation of p n g,r 632 13. The general case 637 14. Applications 640 15. The universal connection 645 Appendix A. Index of notation 648 Acknowledgements 649 References 649
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