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The Birman-Hilden theory

2017/03/09 by Dan Margalit, Rebecca R. Winarski · 1 citation
Mathematics · #math.GT #msc:57M20

paper · pdf · doi:10.1112/blms.12456

For the journal Celebratio Mathematica (http://celebratio.org)

arxiv created 2017/03/09 · arxiv updated 2021/02/10

Abstract

In the 1970s Joan Birman and Hugh Hilden wrote several papers on the problem of relating the mapping class group of a surface to that of a cover. We survey their work, give an overview of the subsequent developments, and discuss open questions and new directions.

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