Gerby localization, Z3-Hodge integrals and the GW theory of [C³/Z3]

• Autores: Charles Cadman, Renzo Cavalieri
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 131, Nº 4, 2009, págs. 1009-1046
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We exhibit a set of recursive relations that completely determine all equivariant Gromov-Witten invariants of $[{\Bbb C}^3/{\Bbb Z}_3]$. We interpret such invariants as ${\Bbb Z}_3$-Hodge integrals, and produce relations among them via Atiyah-Bott localization on moduli spaces of twisted stable maps to gerbes over~${\Bbb P}^1$.