Bridge multisections of surfaces in S^4 are related by a complete set of band surgery moves on multiplane diagrams, with applications to spines of unknotted surfaces.
Surfaces bounding the unlink
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
fields
math.GT 2verdicts
UNVERDICTED 2representative citing papers
Establishes algebraic criteria for ambient homeomorphism and isotopy of genus-g surfaces in 4-manifolds with infinite cyclic knot group exteriors, plus a homeomorphism result for certain 4-manifolds with matching equivariant intersection forms.
citing papers explorer
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Bridge Multisections of Knotted Surfaces in $S^4$
Bridge multisections of surfaces in S^4 are related by a complete set of band surgery moves on multiplane diagrams, with applications to spines of unknotted surfaces.
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Embedded surfaces with infinite cyclic knot group
Establishes algebraic criteria for ambient homeomorphism and isotopy of genus-g surfaces in 4-manifolds with infinite cyclic knot group exteriors, plus a homeomorphism result for certain 4-manifolds with matching equivariant intersection forms.