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arXiv · 2502.11290

Orbifold Hamiltonian Floer theory for global quotients

Cheuk Yu Mak·Sobhan Seyfaddini·Ivan Smith
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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.

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Cheuk Yu Mak, Sobhan Seyfaddini, Ivan Smith. 2025-02-16. Orbifold Hamiltonian Floer theory for global quotients. https://arxiv.org/abs/2502.11290

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