Mirror theorems for root stacks and relative pairs

• Honglu Fan ^[1] ; Hsian-Hua Tseng ^[2] ; Fenglong You ^[3]
  1. [1] Swiss Federal Institute of Technology in Zurich

     Swiss Federal Institute of Technology in Zurich

     Zürich, Suiza

     
  2. [2] Ohio State University

     Ohio State University

     City of Columbus, Estados Unidos

     
  3. [3] University of Alberta

     University of Alberta

     Canadá

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 4, 2019
• Idioma: inglés
• DOI: 10.1007/s00029-019-0501-z
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• Resumen

  • Given a smooth projective variety X with a smooth nef divisor D and a positive integer r, we construct an I-function, an explicit slice of Givental’s Lagrangian cone, for Gromov–Witten theory of the root stack X D,r. As an application, we also obtain an I-function for relative Gromov–Witten theory following the relation between relative and orbifold Gromov–Witten invariants.