A Wirtinger-type presentation for the fundamental quandle of surface links in arbitrary 4-manifolds is constructed, yielding infinite families of non-local knots with fixed bridge numbers in CP^2 # m CPbar^2.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Authors produce a class of deeply slice knots in non-trivial integral homology 3-spheres by building contractible 4-manifolds where the knots are slice and verifying they fail to be slice in the 3-manifold times interval via immersed-curve Heegaard Floer invariants.
citing papers explorer
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Quandle presentations of surface knots in 4-manifolds and bridge numbers
A Wirtinger-type presentation for the fundamental quandle of surface links in arbitrary 4-manifolds is constructed, yielding infinite families of non-local knots with fixed bridge numbers in CP^2 # m CPbar^2.
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Deeply Slice Knot Detection via Immersed Curves
Authors produce a class of deeply slice knots in non-trivial integral homology 3-spheres by building contractible 4-manifolds where the knots are slice and verifying they fail to be slice in the 3-manifold times interval via immersed-curve Heegaard Floer invariants.