Donaldson–Thomas theory of [C2/Zn+1] × P1

• Zijun Zhou ^[1]
  1. [1] Columbia University

     Columbia University

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 4, 2018, págs. 3663-3722
• Idioma: inglés
• DOI: 10.1007/s00029-017-0384-9
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• Resumen

  • We study the relative orbifold Donaldson–Thomas theory of [C2/Zn+1] × P1. A correspondence is established between the DT theory relative to disjoint union of vertical fibers to quantum multiplication by divisors for the Hilbert scheme of points on [C2/Zn+1]. This determines a correspondence between the whole theories if a further nondegeneracy condition is assumed. The result can also be viewed as a crepant resolution correspondence to the DT theory of An × P1.