TY - JOUR
T1 - Transverse invariants and exotic surfaces in the 4–ball
AU - Juhász, András
AU - Miller, Maggie
AU - Zemke, Ian
N1 - Funding Information:
Juhász was supported by a Royal Society Research Fellowship, Miller by an NSF Graduate Research Fellowship (DGE-1656466), and Zemke by an NSF Postdoctoral Research Fellowship (DMS-1703685). This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 674978).
Publisher Copyright:
© 2021, Mathematical Science Publishers. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
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U2 - 10.2140/gt.2021.25.2963
DO - 10.2140/gt.2021.25.2963
M3 - Article
AN - SCOPUS:85122329497
SN - 1465-3060
VL - 25
SP - 2963
EP - 3012
JO - Geometry and Topology
JF - Geometry and Topology
IS - 6
ER -