Braid groups and discrete diffeomorphisms of the punctured disk

Sam Nariman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the group cohomology of the diffeomorphisms of the disk with n punctures has the cohomology of the braid group of n strands as the summand. As an application of this method, we also prove that there is no cohomological obstruction to lifting the “standard” embedding Br 2g+2↪ Mod g,2 to a group homomorphism between diffeomorphism groups.

Original languageEnglish (US)
Pages (from-to)1255-1271
Number of pages17
JournalMathematische Zeitschrift
Volume288
Issue number3-4
DOIs
StatePublished - Apr 1 2018

ASJC Scopus subject areas

  • Mathematics(all)

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