Orbifold Hamiltonian Floer theory for global quotients
Abstract
We construct bulk-deformed orbifold Hamiltonian Floer theory for a global quotient orbifold, that is the quotient of a smooth closed symplectic manifold by a finite group acting faithfully via symplectomorphisms. The moduli spaces define an `ordered marked Flow category', which we equip with a coherent presentation via derived orbifolds. The global charts for orbifold Floer cylinders are built from moduli spaces of holomorphic curves in a quotient of projective space by a free action of the given finite group.
Keywords
Cite
@article{arxiv.2502.11290,
title = {Orbifold Hamiltonian Floer theory for global quotients},
author = {Cheuk Yu Mak and Sobhan Seyfaddini and Ivan Smith},
journal= {arXiv preprint arXiv:2502.11290},
year = {2025}
}
Comments
80 pages. V2: The previous version, titled "Orbifold Floer theory for global quotients and Hamiltonian dynamics," has been split into two papers. This first part develops orbifold Hamiltonian Floer theory for global quotients, with major revisions correcting a serious error. The second part appears separately as "Orbifold Floer spectral invariants, symmetric product links and Weyl laws."