Transverse invariants and exotic surfaces in the 4–ball

András Juhász, Maggie Miller, Ian Zemke

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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

Original languageEnglish (US)
Pages (from-to)2963-3012
Number of pages50
JournalGeometry and Topology
Volume25
Issue number6
DOIs
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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