Algebraic & Geometric Topology Volume 13, issue 5 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra

Lenhard Ng and Daniel Rutherford

Algebraic & Geometric Topology 13 (2013) 3047–3097

DOI: 10.2140/agt.2013.13.3047

Bibliography

1	Y V Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
2	T Ekholm, J B Etnyre, L Ng, M G Sullivan, Knot contact homology, Geom. Topol. 17 (2013) 975 MR3070519
3	J B Etnyre, L Ng, J M Sabloff, Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002) 321 MR1959585
4	D Fuchs, Chekanov–Eliashberg invariant of Legendrian knots: existence of augmentations, J. Geom. Phys. 47 (2003) 43 MR1985483
5	D Fuchs, T Ishkhanov, Invariants of Legendrian knots and decompositions of front diagrams, Mosc. Math. J. 4 (2004) 707, 783 MR2119145
6	M B Henry, Connections between Floer-type invariants and Morse-type invariants of Legendrian knots, Pacific J. Math. 249 (2011) 77 MR2764942
7	T Kálmán, Braid-positive Legendrian links, Int. Math. Res. Not. 2006 (2006) MR2272097
8	M Lavrov, D Rutherford, Generalized normal rulings and invariants of Legendrian solid torus links, Pacific J. Math. 258 (2012) 393 MR2981960
9	K Mishachev, The $N$–copy of a topologically trivial Legendrian knot, J. Symplectic Geom. 1 (2003) 659 MR2039159
10	L Ng, Computable Legendrian invariants, Topology 42 (2003) 55 MR1928645
11	L Ng, Rational symplectic field theory for Legendrian knots, Invent. Math. 182 (2010) 451 MR2737704
12	L Ng, J M Sabloff, The correspondence between augmentations and rulings for Legendrian knots, Pacific J. Math. 224 (2006) 141 MR2231655
13	L Ng, L Traynor, Legendrian solid-torus links, J. Symplectic Geom. 2 (2004) 411 MR2131643
14	P E Pushkar’, Y V Chekanov, Combinatorics of fronts of Legendrian links, and Arnol'd's 4–conjectures, Uspekhi Mat. Nauk 60 (2005) 99 MR2145660
15	D Rutherford, Thurston–Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: the Fuchs conjecture and beyond, Int. Math. Res. Not. 2006 (2006) MR2219227
16	D Rutherford, HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links, Quantum Topol. 2 (2011) 183 MR2783131
17	J M Sabloff, Augmentations and rulings of Legendrian knots, Int. Math. Res. Not. 2005 (2005) 1157 MR2147057
18	C Shonkwiler, D S Vela-Vick, Legendrian contact homology and nondestabilizability, J. Symplectic Geom. 9 (2011) 33 MR2787360
19	S Sivek, The contact homology of Legendrian knots with maximal Thurston–Bennequin invariant, J. Symplectic Geom. 11 (2013) 167