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arxiv: 2502.11290 · v3 · pith:V6CEZKROnew · submitted 2025-02-16 · 🧮 math.SG · math.DS

Orbifold Hamiltonian Floer theory for global quotients

classification 🧮 math.SG math.DS
keywords orbifoldfloerglobalquotientfinitegrouphamiltonianmoduli
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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.

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