Geometry & Topology Volume 24, issue 5 (2020)

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Simplifying Weinstein Morse functions

Oleg Lazarev

Geometry & Topology 24 (2020) 2603–2646

DOI: 10.2140/gt.2020.24.2603

Bibliography

1	M Abouzaid, P Seidel, An open string analogue of Viterbo functoriality, Geom. Topol. 14 (2010) 627 MR2602848
2	S Akbulut, M F Arikan, On Legendrian embeddings into open book decompositions, Ark. Mat. 57 (2019) 227 MR4018753
3	F Bourgeois, T Ekholm, Y Eliashberg, Effect of Legendrian surgery, Geom. Topol. 16 (2012) 301 MR2916289
4	R Casals, E Murphy, Legendrian fronts for affine varieties, Duke Math. J. 168 (2019) 225 MR3909897
5	R Casals, E Murphy, F Presas, Geometric criteria for overtwistedness, J. Amer. Math. Soc. 32 (2019) 563 MR3904160
6	B Chantraine, G Dimitroglou Rizell, P Ghiggini, R Golovko, Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors, preprint (2017) arXiv:1712.09126
7	K Cieliebak, Y Eliashberg, From Stein to Weinstein and back : symplectic geometry of affine complex manifolds, 59, Amer. Math. Soc. (2012) MR3012475
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, M G Sullivan, The persistence of the Chekanov–Eliashberg algebra, preprint (2018) arXiv:1810.10473
11	T Ekholm, J Etnyre, M Sullivan, Non-isotopic Legendrian submanifolds in ℝ²ⁿ⁺¹, J. Differential Geom. 71 (2005) 85 MR2191769
12	T Ekholm, J Etnyre, M Sullivan, Legendrian contact homology in P × ℝ, Trans. Amer. Math. Soc. 359 (2007) 3301 MR2299457
13	T Ekholm, K Honda, T Kálmán, Legendrian knots and exact Lagrangian cobordisms, J. Eur. Math. Soc. 18 (2016) 2627 MR3562353
14	T Ekholm, Y Lekili, Duality between Lagrangian and Legendrian invariants, preprint (2017) arXiv:1701.01284
15	Y Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Int. J. Math. 1 (1990) 29 MR1044658
16	Y Eliashberg, Unique holomorphically fillable contact structure on the 3–torus, Int. Math. Res. Not. 1996 (1996) 77 MR1383953
17	Y Eliashberg, Symplectic geometry of plurisubharmonic functions, from: "Gauge theory and symplectic geometry" (editors J Hurtubise, F Lalonde, G Sabidussi), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 488, Kluwer (1997) 49 MR1461569
18	Y Eliashberg, S Ganatra, O Lazarev, Flexible Lagrangians, Int. Math. Res. Not. 2020 (2020) 2408 MR4090744
19	Y Eliashberg, E Murphy, Lagrangian caps, Geom. Funct. Anal. 23 (2013) 1483 MR3102911
20	J B Etnyre, L L Ng, Legendrian contact homology in ℝ³, preprint (2018) arXiv:1811.10966
21	S Galkin, L Katzarkov, A Mellit, E Shinder, Minifolds and phantoms, preprint (2013) arXiv:1305.4549
22	S Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, PhD thesis, Massachusetts Institute of Technology (2012) arXiv:1304.7312
23	S Ganatra, J Pardon, V Shende, Sectorial descent for wrapped Fukaya categories, preprint (2018) arXiv:1809.03427
24	H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
25	P Ghiggini, K Niederkrüger, C Wendl, Subcritical contact surgeries and the topology of symplectic fillings, J. Éc. Polytech. Math. 3 (2016) 163 MR3477867
26	S Gorchinskiy, D Orlov, Geometric phantom categories, Publ. Math. Inst. Hautes Études Sci. 117 (2013) 329 MR3090263
27	B Keller, Introduction to A–infinity algebras and modules, Homology Homotopy Appl. 3 (2001) 1 MR1854636
28	O Lazarev, Contact manifolds with flexible fillings, Geom. Funct. Anal. 30 (2020) 188 MR4081058
29	O Lazarev, H–principles for regular Lagrangians, J. Symplectic Geom. 18 (2020) 1071
30	O Lazarev, Maximal contact and symplectic structures, J. Topol. 13 (2020) 1058 MR4100126
31	C Leverson, Augmentations and rulings of Legendrian links in #^k(S¹ × S²), Pacific J. Math. 288 (2017) 381 MR3646897
32	M McLean, Lefschetz fibrations and symplectic homology, Geom. Topol. 13 (2009) 1877 MR2497314
33	E Murphy, Loose Legendrian embeddings in high dimensional contact manifolds, preprint (2012) arXiv:1201.2245
34	E Murphy, K Siegel, Subflexible symplectic manifolds, Geom. Topol. 22 (2018) 2367 MR3784524
35	L L Ng, Computable Legendrian invariants, Topology 42 (2003) 55 MR1928645
36	P Seidel, A biased view of symplectic cohomology, from: "Current developments in mathematics" (editors B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), International (2008) 211 MR2459307
37	P Seidel, I Smith, The symplectic topology of Ramanujam’s surface, Comment. Math. Helv. 80 (2005) 859 MR2182703
38	S Sivek, The contact homology of Legendrian knots with maximal Thurston–Bennequin invariant, J. Symplectic Geom. 11 (2013) 167 MR3046489
39	S Smale, On the structure of manifolds, Amer. J. Math. 84 (1962) 387 MR153022
40	C Wendl, Strongly fillable contact manifolds and J–holomorphic foliations, Duke Math. J. 151 (2010) 337 MR2605865
41	Z Zhou, Vanishing of symplectic homology and obstruction to flexible fillability, Int. Math. Res. Not. 2020 (2020) 9717 MR4182808