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Non-stable-homotopy conjecture for the left-invariant stable Hamiltonian structures on PSL(2,R) quotients
Non-stable-homotopy conjecture. The stable Hamiltonian structures $(d\alpha_+,\alpha_+)$ and $(d\alpha_-,-\alpha_-)$ are not stably homotopic.
Conjectureopenstable-hamiltonian-topology symplectic-cobordismsarXiv posted 3 days ago

Non-stable-homotopy conjecture for the left-invariant stable Hamiltonian structures on PSL(2,R) quotients