The index of Floer moduli problems for parametrized action functionals

Frédéric Bourgeois (1) , Alexandru Oancea (2)

1 ULB - Faculté des Sciences [Bruxelles]
2 IRMA - Institut de Recherche Mathématique Avancée

We define an index for the critical points of parametrized Hamiltonian action functionals. The expected dimension of moduli spaces of parametrized Floer trajectories equals the difference of indices of the asymptotes.

Domaines: Géométrie symplectique [math.SG]

Frédéric Bourgeois, Alexandru Oancea. The index of Floer moduli problems for parametrized action functionals. 2012. ⟨hal-01010949⟩