Transverse invariants and exotic surfaces in the 4–ball

نویسندگان

چکیده

Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot 3-sphere that are pairwise topologically isotopic, but not ambient diffeomorphic. We distinguish using maps they induce on perturbed sutured Floer homology. Along way, show cobordism map induced by an ascending surface Weinstein preserves transverse invariant

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ژورنال

عنوان ژورنال: Geometry & Topology

سال: 2021

ISSN: ['1364-0380', '1465-3060']

DOI: https://doi.org/10.2140/gt.2021.25.2963