Lagrangians, SO(3)-instantons and the Atiyah-Floer Conjecture
Aliakbar Daemi, Kenji Fukaya, Maksim Lipyanskiy
TL;DR
This paper proves a version of the Atiyah-Floer conjecture for admissible SO(3)-bundles, advancing understanding in gauge theory and low-dimensional topology.
Contribution
It establishes a new version of the Atiyah-Floer conjecture specifically for admissible SO(3)-bundles, connecting Lagrangian Floer homology with instanton theory.
Findings
Proves a version of the Atiyah-Floer conjecture for SO(3)-bundles
Links Lagrangian Floer homology with SO(3)-instantons
Advances the mathematical understanding of gauge theory in 3- and 4-manifolds
Abstract
A version of the Atiyah-Floer conjecture, adapted to admissible SO(3)-bundles, is established.
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Taxonomy
TopicsGeometric and Algebraic Topology · Quantum chaos and dynamical systems · Homotopy and Cohomology in Algebraic Topology