• Corpus ID: 245836806

An integral Euler cycle in normally complex orbifolds and Z-valued Gromov-Witten type invariants

  title={An integral Euler cycle in normally complex orbifolds and Z-valued Gromov-Witten type invariants},
  author={Shaoyun Bai and Guangbo Xu},
We define an integral Euler cycle for a vector bundle E over an effective orbifold X for which (E,X) is (stably) normally complex. The transversality is achieved by using Fukaya–Ono’s “normally polynomial perturbations” [FO97] and Brett Parker’s generalization [Par13] to “normally complex perturbations.” Two immediate applications in symplectic topology are the definition of integer-valued genus-zero Gromov–Witten type invariants for general compact symplectic manifolds using the global… 
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