Volume 10, issue 4 (2006)

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

Volume 20
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627

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 Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Duality for Legendrian contact homology

Joshua M Sabloff

Geometry & Topology 10 (2006) 2351–2381

arXiv: math.SG/0508187

Abstract

The main result of this paper is that, off of a “fundamental class” in degree 1, the linearized Legendrian contact homology obeys a version of Poincaré duality between homology groups in degrees k and k. Not only does the result itself simplify calculations, but its proof also establishes a framework for analyzing cohomology operations on the linearized Legendrian contact homology.

Keywords
contact homology, legendrian knot, duality
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 53D12, 53D40, 57M25
References
Forward citations
Publication
Received: 7 September 2005
Revised: 29 July 2006
Accepted: 9 November 2006
Published: 8 December 2006
Proposed: Yasha Eliashberg
Seconded: Leonid Polterovich, Joan Birman
Authors
Joshua M Sabloff
Haverford College
Haverford, PA 19041
USA