Volume 17, issue 5 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Khovanov module and the detection of unlinks

Matthew Hedden and Yi Ni

Geometry & Topology 17 (2013) 3027–3076
Abstract

We study a module structure on Khovanov homology, which we show is natural under the Ozsváth–Szabó spectral sequence to the Floer homology of the branched double cover. As an application, we show that this module structure detects trivial links. A key ingredient of our proof is that the ΛH1–module structure on Heegaard Floer homology detects S1 × S2 connected summands.

Keywords
Khovanov module, Heegaard Floer homology, unlinks, branched double cover
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57M25
References
Publication
Received: 6 May 2013
Accepted: 15 June 2013
Published: 17 October 2013
Proposed: Ronald Fintushel
Seconded: Robion Kirby, Ronald Stern
Authors
Matthew Hedden
Department of Mathematics
Michigan State University
A338 WH
East Lansing, MI 48824
USA
http://www.math.msu.edu/~mhedden/Home.html
Yi Ni
Department of Mathematics
California Institute of Technology
1200 E California Blvd
Pasadena, CA 91125
USA
http://www.its.caltech.edu/~yini/