Braid groups and Hodge theory
نویسنده
چکیده
This paper gives an account of the unitary representations of the braid group that arise via the Hodge theory of cyclic branched coverings of P, highlighting their connections with ergodic theory, complex reflection groups, moduli spaces of 1-forms and open problems in surface topology.
منابع مشابه
Infinitesimal Presentations of the Torelli Groups
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. ...
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