Orbifold thechniques in degeneration formulas

• Dan Abramovich ^[1] ; Barbara Fantechi ^[2]
  1. [1] Brown University

     Brown University

     City of Providence, Estados Unidos

     
  2. [2] SISSA Trieste, Italia
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 16, Nº 2, 2016, págs. 519-579
• Idioma: inglés
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• Resumen

  • We give a new approach for relative and degenerate Gromov-Witten invariants, inspired by that ofJun Li but replacing predeformable maps by transversal maps to a twisted target. The main advantage is a significant simplification in the definition of the obstruction theory. We reprove in our language the degeneration formula, extending it to the orbifold case