Algebraic & Geometric Topology Volume 15, issue 6 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Equivalence classes of augmentations and Morse complex sequences of Legendrian knots

Michael B Henry and Dan Rutherford

Algebraic & Geometric Topology 15 (2015) 3323–3353

DOI: 10.2140/agt.2015.15.3323

Bibliography

1	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
2	Y V Chekanov, Invariants of Legendrian knots, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. Press (2002) 385 MR1957049
3	Y V Chekanov, P E Pushkar’, Combinatorics of fronts of Legendrian links, and Arnol'd's $4$–conjectures, Uspekhi Mat. Nauk 60 (2005) 99 MR2145660
4	T Ekholm, K Honda, T Kálmán, Legendrian knots and exact Lagrangian cobordisms, preprint arXiv:1212.1519
5	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
6	Y Félix, S Halperin, J C Thomas, Differential graded algebras in topology, from: "Handbook of algebraic topology" (editor I M James), North-Holland, Amsterdam (1995) 829 MR1361901
7	D Fuchs, Chekanov–Eliashberg invariant of Legendrian knots: Existence of augmentations, J. Geom. Phys. 47 (2003) 43 MR1985483
8	D Fuchs, T Ishkhanov, Invariants of Legendrian knots and decompositions of front diagrams, Mosc. Math. J. 4 (2004) 707, 783 MR2119145
9	D Fuchs, D Rutherford, Generating families and Legendrian contact homology in the standard contact space, J. Topol. 4 (2011) 190 MR2783382
10	M B Henry, Connections between Floer-type invariants and Morse-type invariants of Legendrian knots, Pacific J. Math. 249 (2011) 77 MR2764942
11	M B Henry, D Rutherford, A combinatorial DGA for Legendrian knots from generating families, Commun. Contemp. Math. 15 (2013) MR3037194
12	M B Henry, D Rutherford, Ruling polynomials and augmentations over finite fields, J. Topol. 8 (2015) 1 MR3335247
13	J Jordan, L Traynor, Generating family invariants for Legendrian links of unknots, Algebr. Geom. Topol. 6 (2006) 895 MR2240920
14	T Kálmán, Contact homology and one parameter families of Legendrian knots, Geom. Topol. 9 (2005) 2013 MR2209366
15	L L Ng, Computable Legendrian invariants, Topology 42 (2003) 55 MR1928645
16	L L Ng, J M Sabloff, The correspondence between augmentations and rulings for Legendrian knots, Pacific J. Math. 224 (2006) 141 MR2231655
17	J M Sabloff, Augmentations and rulings of Legendrian knots, Int. Math. Res. Not. 2005 (2005) 1157 MR2147057
18	J M Sabloff, L Traynor, Obstructions to Lagrangian cobordisms between Legendrians via generating families, Algebr. Geom. Topol. 13 (2013) 2733 MR3116302
19	L Traynor, Legendrian circular helix links, Math. Proc. Cambridge Philos. Soc. 122 (1997) 301 MR1458235
20	L Traynor, Generating function polynomials for Legendrian links, Geom. Topol. 5 (2001) 719 MR1871403