For fixed dimension and Euler characteristic, compact positive monotone Hamiltonian GKM3 spaces have finitely many complex cobordism classes, with moment map images and Chern numbers quantitatively bounded.
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Finiteness and boundedness of positive monotone Hamiltonian GKM$_3$ spaces
For fixed dimension and Euler characteristic, compact positive monotone Hamiltonian GKM3 spaces have finitely many complex cobordism classes, with moment map images and Chern numbers quantitatively bounded.