Contact 3-manifolds admitting uniform spinal open books with planar pages have their weak, strong, and exact symplectic and Stein fillings classified by diffeomorphism classes of Lefschetz fibrations.
Wand, Mapping class group relations, Stein fillings, and planar op en book decompositions , J
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On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification
Contact 3-manifolds admitting uniform spinal open books with planar pages have their weak, strong, and exact symplectic and Stein fillings classified by diffeomorphism classes of Lefschetz fibrations.