Transverse invariants and exotic surfaces in the 4-ball
Geometric Topology
2021-12-08 v2 Symplectic Geometry
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 sutured 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 knot Floer homology.
Keywords
Cite
@article{arxiv.2001.07191,
title = {Transverse invariants and exotic surfaces in the 4-ball},
author = {András Juhász and Maggie Miller and Ian Zemke},
journal= {arXiv preprint arXiv:2001.07191},
year = {2021}
}
Comments
31 pages, 13 figures, to appear in Geometry and Topology