Lagrangians, SO(3)-instantons and the Atiyah-Floer Conjecture

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Aliakbar Daemi , Kenji Fukaya , Maksim Lipyanskiy This is my paper · ORCID

classification math.GTmath.DGmath.SG

keywords atiyah-floerconjectureadaptedadmissiblebundlesestablishedinstantonslagrangians

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A version of the Atiyah-Floer conjecture, adapted to admissible SO(3)-bundles, is established.

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Floer homotopy theory for monotone Lagrangians
math.SG 2025-06 conditional novelty 6.0 of 10

An N-truncated flow category with a U-brane produces a Steenrod algebra action on monotone Lagrangian Floer cohomology, giving new clean-intersection restrictions for RP^n in CP^n.