A 2-categorical extension of the Reshetikhin–Turaev theory

• Yu Tsumura ^[1]
  1. [1] Purdue University

     Purdue University

     Township of Wabash, Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 11 (November 2015), 2015, págs. 4953-4997
• Idioma: inglés
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• Resumen

  • We concretely construct a 2-categorically extended TQFT that extends the Reshetikhin–Turaev TQFT to cobordisms with corners. The source category will be a well chosen 2-category of decorated cobordisms with corners and the target bicategory will be the Kapranov–Voevodsky 2-vector spaces.