|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Transverse invariants and
exotic surfaces in the $4$–ball
András Juhász, Maggie Miller and Ian Zemke |
|
Geometry & Topology 25 (2021) 2963–3012
|
Abstract |
|
Using –twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the –ball bounding a knot in the –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. |
PDF Access Denied
We have not been able to recognize your IP address
3.21.104.109
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
4-manifolds, exotic surfaces, Heegaard Floer homology
|
Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 57M27, 57R55
|
References |
Publication
Received: 1 February 2020
Revised: 18 September 2020
Accepted: 13 November 2020
Published: 30 November 2021
Proposed: András I Stipsicz
Seconded: Peter Ozsváth, Paul Seidel
|
Authors |
| András Juhász | |
| Mathematical Institute University of Oxford Oxford United Kingdom |
|
| Maggie Miller | |
| Department of Mathematics Princeton University Princeton, NJ United States |
Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
| Ian Zemke | |
| Department of Mathematics Princeton University Princeton, NJ United States |
|
