An elementary fact about unlinked braid closures

J. Elisenda Grigsby, Stephan M. Wehrli

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Let n∈ Z+. We provide two short proofs of the following classical fact, one using Khovanov homology and one using Heegaard–Floer homology: if the closure of an n-strand braid σ is the n-component unlink, then σ is the trivial braid.

Original languageEnglish (US)
Title of host publicationAssociation for Women in Mathematics Series
PublisherSpringer
Pages93-101
Number of pages9
DOIs
StatePublished - 2016

Publication series

NameAssociation for Women in Mathematics Series
Volume6
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741

Keywords

  • Braids
  • Heegaard–floer homology
  • Khovanov homology

ASJC Scopus subject areas

  • Mathematics(all)
  • Gender Studies

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