Recent Issues |
|
Volume 1, 1997 |
|
Volume 2, 1998 |
|
Volume 3, 1999 |
|
Volume 4, 2000 |
|
Volume 5, 2001 |
|
Volume 6, 2002 |
|
Volume 7, 2003 |
|
Volume 8, 2004 |
|
Volume 9, 2005 |
|
Volume 10, 2006 |
|
Volume 11, 2007 |
|
Volume
12(1) 2008 |
|
Volume
12(2) 2008 |
|
Volume
12(3) 2008 |
|
Volume
12(4) 2008 |
|
Volume
12(5) 2008 |
|
Volume
13(1) 2009 |
|
Volume
13(2) 2009 |
|
Volume
13(3) 2009 |
|
Volume
13(4) 2009 |
|
Volume
13(5) 2009 |
|
Volume
14(2010) preview |
|
G&T Monographs |
|
|
|
Knot and braid invariants from contact homology II
Lenhard Ng
Appendix: Siddhartha Gadgil
|
|
Geometry & Topology 9 (2005)
1603–1637
|
Abstract
|
|
We present a topological interpretation of knot and braid contact homology in degree
zero, in terms of cords and skein relations. This interpretation allows us to extend
the knot invariant to embedded graphs and higher-dimensional knots. We
calculate the knot invariant for two-bridge knots and relate it to double
branched covers for general knots. In the appendix we show that the cord ring is
determined by the fundamental group and peripheral structure of a knot and give
applications.
|
Keywords
contact homology, knot invariant,
differential graded algebra, skein relation, character
variety
|
Mathematical Subject Classification
Primary: 57M27
Secondary: 20F36, 53D35
|
Publication
Received: 24 February 2005
Accepted: 16 August 2005
Published: 26 August 2005
Proposed: Yasha Eliashberg
Seconded: Robion Kirby, Ronald Fintushel
|
|
