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ON POWERS OF HALF-TWISTS IN M(0, 2n)

  • GREGOR MASBAUM (a1)

Abstract

We use elementary skein theory to prove a version of a result of Stylianakis (Stylianakis, The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere, arXiv:1511.02912) who showed that under mild restrictions on m and n, the normal closure of the mth power of a half-twist has infinite index in the mapping class group of a sphere with 2n punctures.

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9. Santharoubane, R., Limites homologiques de représentations quantiques et applications à la conjecture AMU, Doctoral Thesis (Universite Paris Diderot, Paris, 2015), available at https://sites.google.com/site/ramanujansantharoubane/
10. Stylianakis, C., The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere. arXiv:1511.02912
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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
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