Algebraic & Geometric Topology Volume 5, issue 4 (2005)

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A Legendrian Thurston–Bennequin bound from Khovanov homology

Lenhard Ng

Algebraic & Geometric Topology 5 (2005) 1637–1653

DOI: 10.2140/agt.2005.5.1637

Bibliography

1	D Bar-Natan, KnotTheory`, Mathematica package
2	D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982)", Astérisque 107, Soc. Math. France (1983) 87 MR753131
3	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
4	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
5	J Epstein, D Fuchs, On the invariants of Legendrian mirror torus links, from: "Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001)", Fields Inst. Commun. 35, Amer. Math. Soc. (2003) 103 MR1969270
6	J B Etnyre, K Honda, Knots and contact geometry I: Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
7	E Ferrand, On Legendrian knots and polynomial invariants, Proc. Amer. Math. Soc. 130 (2002) 1169 MR1873793
8	J Franks, R F Williams, Braids and the Jones polynomial, Trans. Amer. Math. Soc. 303 (1987) 97 MR896009
9	D Fuchs, Chekanov–Eliashberg invariant of Legendrian knots: existence of augmentations, J. Geom. Phys. 47 (2003) 43 MR1985483
10	J Hoste, M Thistlethwaite, Knotscape
11	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
12	M Khovanov, L Rozansky, Matrix factorizations and link homology II, Geom. Topol. 12 (2008) 1387 MR2421131
13	E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554 MR2173845
14	C Livingston, KnotInfo, table of knot invariants
15	C Manolescu, Nilpotent slices, Hilbert schemes, and the Jones polynomial, Duke Math. J. 132 (2006) 311 MR2219260
16	H R Morton, Seifert circles and knot polynomials, Math. Proc. Cambridge Philos. Soc. 99 (1986) 107 MR809504
17	L L Ng, Maximal Thurston–Bennequin number of two-bridge links, Algebr. Geom. Topol. 1 (2001) 427 MR1852765
18	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
19	O Plamenevskaya, Bounds for the Thurston–Bennequin number from Floer homology, Algebr. Geom. Topol. 4 (2004) 399 MR2077671
20	O Plamenevskaya, Transverse knots and Khovanov homology, Math. Res. Lett. 13 (2006) 571 MR2250492
21	J Rasmussen, Khovanov homology and the slice genus arXiv:math.GT/0402131
22	L Rudolph, A congruence between link polynomials, Math. Proc. Cambridge Philos. Soc. 107 (1990) 319 MR1027784
23	L Rudolph, Quasipositivity as an obstruction to sliceness, Bull. Amer. Math. Soc. $($N.S.$)$ 29 (1993) 51 MR1193540
24	D Rutherford, Thurston–Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: the Fuchs conjecture and beyond, Int. Math. Res. Not. (2006) 15 MR2219227
25	P Seidel, I Smith, A link invariant from the symplectic geometry of nilpotent slices, Duke Math. J. 134 (2006) 453 MR2254624
26	A Shumakovitch, KhoHo
27	A N Shumakovitch, Rasmussen invariant, slice-Bennequin inequality, and sliceness of knots, J. Knot Theory Ramifications 16 (2007) 1403 MR2384833
28	A Shumakovitch, Torsion of the Khovanov homology arXiv:math.GT/0405474
29	H Wu, Braids, transversal links and the Khovanov–Rozansky theory, Trans. Amer. Math. Soc. 360 (2008) 3365 MR2386230