Algebraic & Geometric Topology Volume 21, issue 2 (2021)

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On Legendrian products and twist spuns

Georgios Dimitroglou Rizell and Roman Golovko

Algebraic & Geometric Topology 21 (2021) 665–695

DOI: 10.2140/agt.2021.21.665

Bibliography

1	M Audin, F Lalonde, L Polterovich, Symplectic rigidity : Lagrangian submanifolds, from: "Holomorphic curves in symplectic geometry" (editors M Audin, J Lafontaine), Progr. Math. 117, Birkhäuser (1994) 271 MR1274934
2	D Auroux, Mirror symmetry and T–duality in the complement of an anticanonical divisor, J. Gökova Geom. Topol. 1 (2007) 51 MR2386535
3	H J Baues, J M Lemaire, Minimal models in homotopy theory, Math. Ann. 225 (1977) 219 MR431172
4	F Bourgeois, B Chantraine, Bilinearized Legendrian contact homology and the augmentation category, J. Symplectic Geom. 12 (2014) 553 MR3248668
5	B Chantraine, G Dimitroglou Rizell, P Ghiggini, R Golovko, Floer homology and Lagrangian concordance, from: "Proceedings of the Gökova Geometry-Topology Conference 2014" (editors S Akbulut, D Auroux, T Önder), GGT (2015) 76 MR3381440
6	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
7	G Dimitroglou Rizell, Knotted Legendrian surfaces with few Reeb chords, Algebr. Geom. Topol. 11 (2011) 2903 MR2846915
8	G Dimitroglou Rizell, Legendrian ambient surgery and Legendrian contact homology, J. Symplectic Geom. 14 (2016) 811 MR3548486
9	G Dimitroglou Rizell, R Golovko, Estimating the number of Reeb chords using a linear representation of the characteristic algebra, Algebr. Geom. Topol. 15 (2015) 2887 MR3426697
10	G Dimitroglou Rizell, R Golovko, Legendrian submanifolds from Bohr–Sommerfeld covers of monotone Lagrangian tori, preprint (2019) arXiv:1901.08415
11	T Ekholm, Rational symplectic field theory over ℤ₂ for exact Lagrangian cobordisms, J. Eur. Math. Soc. 10 (2008) 641 MR2421157
12	T Ekholm, Rational SFT, linearized Legendrian contact homology, and Lagrangian Floer cohomology, from: "Perspectives in analysis, geometry, and topology" (editors I Itenberg, B Jöricke, M Passare), Progr. Math. 296, Birkhäuser (2012) 109 MR2884034
13	T Ekholm, J Etnyre, M Sullivan, Non-isotopic Legendrian submanifolds in ℝ²ⁿ⁺¹, J. Differential Geom. 71 (2005) 85 MR2191769
14	T Ekholm, J Etnyre, M Sullivan, Legendrian contact homology in P × ℝ, Trans. Amer. Math. Soc. 359 (2007) 3301 MR2299457
15	T Ekholm, K Honda, T Kálmán, Legendrian knots and exact Lagrangian cobordisms, J. Eur. Math. Soc. 18 (2016) 2627 MR3562353
16	T Ekholm, T Kálmán, Isotopies of Legendrian 1–knots and Legendrian 2–tori, J. Symplectic Geom. 6 (2008) 407 MR2471099
17	T Ekholm, Y Lekili, Duality between Lagrangian and Legendrian invariants, preprint (2017) arXiv:1701.01284
18	Y Eliashberg, Invariants in contact topology, from: "Proceedings of the International Congress of Mathematicians, II" (editors G Fischer, U Rehmann), Deutsche Math. Vereinigung (1998) 327 MR1648083
19	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
20	Y Eliashberg, N Mishachev, Introduction to the h–principle, 48, Amer. Math. Soc. (2002) MR1909245
21	J B Etnyre, K Honda, On connected sums and Legendrian knots, Adv. Math. 179 (2003) 59 MR2004728
22	H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
23	R Golovko, A note on the front spinning construction, Bull. Lond. Math. Soc. 46 (2014) 258 MR3194745
24	P Lambert-Cole, Legendrian products, preprint (2013) arXiv:1301.3700
25	P Lambert-Cole, Invariants of Legendrian products, PhD thesis, Louisiana State University (2014)
26	C Leverson, Augmentations and rulings of Legendrian knots, J. Symplectic Geom. 14 (2016) 1089 MR3601885
27	G Mikhalkin, Amoebas of algebraic varieties and tropical geometry, from: "Different faces of geometry" (editors S Donaldson, Y Eliashberg, M Gromov), Int. Math. Ser. 3, Kluwer (2004) 257 MR2102998
28	E Murphy, Loose Legendrian embeddings in high dimensional contact manifolds, preprint (2012) arXiv:1201.2245
29	L Ng, D Rutherford, V Shende, S Sivek, E Zaslow, Augmentations are sheaves, Geom. Topol. 24 (2020) 2149 MR4194293
30	J M Sabloff, M G Sullivan, Families of Legendrian submanifolds via generating families, Quantum Topol. 7 (2016) 639 MR3593565
31	R Vianna, Infinitely many exotic monotone Lagrangian tori in ℂℙ², J. Topol. 9 (2016) 535 MR3509972