Algebraic & Geometric Topology Volume 24, issue 7 (2024)

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Geography of bilinearized Legendrian contact homology

Frédéric Bourgeois and Damien Galant

Algebraic & Geometric Topology 24 (2024) 3571–3604

DOI: 10.2140/agt.2024.24.3571

Bibliography

1	F Bourgeois, B Chantraine, Bilinearized Legendrian contact homology and the augmentation category, J. Symplectic Geom. 12 (2014) 553 MR3248668
2	F Bourgeois, J M Sabloff, L Traynor, Lagrangian cobordisms via generating families: construction and geography, Algebr. Geom. Topol. 15 (2015) 2439 MR3402346
3	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
4	G Dimitroglou Rizell, Legendrian ambient surgery and Legendrian contact homology, J. Symplectic Geom. 14 (2016) 811 MR3548486
5	T Ekholm, Morse flow trees and Legendrian contact homology in 1–jet spaces, Geom. Topol. 11 (2007) 1083 MR2326943
6	T Ekholm, J B Etnyre, J M Sabloff, A duality exact sequence for Legendrian contact homology, Duke Math. J. 150 (2009) 1 MR2560107
7	T Ekholm, J Etnyre, M Sullivan, The contact homology of Legendrian submanifolds in ℝ²ⁿ⁺¹, J. Differential Geom. 71 (2005) 177 MR2197142
8	T Ekholm, J Etnyre, M Sullivan, Non-isotopic Legendrian submanifolds in ℝ²ⁿ⁺¹, J. Differential Geom. 71 (2005) 85 MR2191769
9	T Ekholm, J Etnyre, M Sullivan, Legendrian contact homology in P × ℝ, Trans. Amer. Math. Soc. 359 (2007) 3301 MR2299457
10	Y Félix, S Halperin, J C Thomas, Rational homotopy theory, 205, Springer (2001) MR1802847
11	M B Henry, D Rutherford, A combinatorial DGA for Legendrian knots from generating families, Commun. Contemp. Math. 15 (2013) 1250059 MR3037194
12	M B Henry, D Rutherford, Equivalence classes of augmentations and Morse complex sequences of Legendrian knots, Algebr. Geom. Topol. 15 (2015) 3323 MR3450763
13	T Kálmán, Contact homology and one parameter families of Legendrian knots, Geom. Topol. 9 (2005) 2013 MR2209366
14	P Melvin, S Shrestha, The nonuniqueness of Chekanov polynomials of Legendrian knots, Geom. Topol. 9 (2005) 1221 MR2174265
15	L L Ng, Computable Legendrian invariants, Topology 42 (2003) 55 MR1928645
16	L Ng, D Rutherford, V Shende, S Sivek, E Zaslow, Augmentations are sheaves, Geom. Topol. 24 (2020) 2149 MR4194293