Finitely many numerical invariants classify the diffeomorphism types of simply connected 3D Mori fibre spaces with torsion-free homology.
Math.27(1990) 229–245
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Diffeomorphism types of simply connected $3$-dimensional Mori fibre spaces
Finitely many numerical invariants classify the diffeomorphism types of simply connected 3D Mori fibre spaces with torsion-free homology.