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Toward a topological description of Legendrian contact homology of unit conormal bundles

Yukihiro Okamoto

Algebraic & Geometric Topology 25 (2025) 951–1027
Bibliography
1 A Abbondandolo, A Portaluri, M Schwarz, The homology of path spaces and Floer homology with conormal boundary conditions, J. Fixed Point Theory Appl. 4 (2008) 263 MR2465553
2 A Abbondandolo, M Schwarz, On the Floer homology of cotangent bundles, Comm. Pure Appl. Math. 59 (2006) 254 MR2190223
3 M Abouzaid, Symplectic cohomology and Viterbo’s theorem, from: "Free loop spaces in geometry and topology", IRMA Lect. Math. Theor. Phys. 24, Eur. Math. Soc. (2015) 271 MR3444367
4 Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
5 K T Chen, On differentiable spaces, from: "Categories in continuum physics", Lecture Notes in Math. 1174, Springer (1986) 38 MR842915
6 K Cieliebak, T Ekholm, J Latschev, L Ng, Knot contact homology, string topology, and the cord algebra, J. Éc. Polytech. Math. 4 (2017) 661 MR3665612
7 G Dimitroglou Rizell, Lifting pseudo-holomorphic polygons to the symplectisation of P × and applications, Quantum Topol. 7 (2016) 29 MR3459958
8 T Ekholm, J B Etnyre, L Ng, M G Sullivan, Knot contact homology, Geom. Topol. 17 (2013) 975 MR3070519
9 T Ekholm, J Etnyre, M Sullivan, The contact homology of Legendrian submanifolds in 2n+1, J. Differential Geom. 71 (2005) 177 MR2197142
10 T Ekholm, J Etnyre, M Sullivan, Orientations in Legendrian contact homology and exact Lagrangian immersions, Int. J. Math. 16 (2005) 453 MR2141318
11 T Ekholm, J Etnyre, M Sullivan, Legendrian contact homology in P × , Trans. Amer. Math. Soc. 359 (2007) 3301 MR2299457
12 Y Eliashberg, Invariants in contact topology, from: "Proceedings of the International Congress of Mathematicians, II" (editors G Fischer, U Rehmann), Deutsche Mathematiker Vereinigung (1998) 327 MR1648083
13 J B Etnyre, L L Ng, J M Sabloff, Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002) 321 MR1959585
14 K Fukaya, Application of Floer homology of Langrangian submanifolds to symplectic topology, from: "Morse theoretic methods in nonlinear analysis and in symplectic topology", NATO Sci. Ser. II Math. Phys. Chem. 217, Springer (2006) 231 MR2276953
15 K Irie, A chain level Batalin–Vilkovisky structure in string topology via de Rham chains, Int. Math. Res. Not. 2018 (2018) 4602 MR3842380
16 K Irie, Chain level loop bracket and pseudo-holomorphic disks, J. Topol. 13 (2020) 870 MR4092781
17 J Milnor, Morse theory, 51, Princeton Univ. Press (1963) MR163331
18 L Ng, Knot and braid invariants from contact homology, II, Geom. Topol. 9 (2005) 1603 MR2175153
19 L Ng, Framed knot contact homology, Duke Math. J. 141 (2008) 365 MR2376818
20 C Viterbo, Generating functions, symplectic geometry, and applications, from: "Proceedings of the International Congress of Mathematicians, I" (editor S D Chatterji), Birkhäuser (1995) 537 MR1403954
21 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324