Algebraic & Geometric Topology Volume 22, issue 1 (2022)

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Cylindrical contact homology of $3$–dimensional Brieskorn manifolds

Sebastian Haney and Thomas E Mark

Algebraic & Geometric Topology 22 (2022) 153–187

DOI: 10.2140/agt.2022.22.153

Bibliography

1	E Bao, K Honda, Definition of cylindrical contact homology in dimension three, J. Topol. 11 (2018) 1002 MR3989436
2	I V Dolgachev, Quotient-conical singularities on complex surfaces, Funkcional. Anal. i Priložen. 8 (1974) 75 MR0345974
3	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. 2000 (2000) 560 MR1826267
4	R H Fox, On Fenchel’s conjecture about F–groups, Mat. Tidsskr. B 1952 (1952) 61 MR53937
5	H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
6	M Hutchings, Lecture notes on embedded contact homology, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, Bolyai Math. Soc. (2014) 389 MR3220947
7	M Hutchings, J Nelson, Cylindrical contact homology for dynamically convex contact forms in three dimensions, J. Symplectic Geom. 14 (2016) 983 MR3601881
8	M Hutchings, J Nelson, S¹–equivariant contact homology for hypertight contact forms, preprint (2019) arXiv:1906.03457
9	O van Koert, Contact homology of Brieskorn manifolds, Forum Math. 20 (2008) 317 MR2395966
10	J Milnor, On the 3–dimensional Brieskorn manifolds M(p,q,r), from: "Knots, groups, and 3–manifolds" (editor L P Neuwirth), Ann. of Math. Stud. 84, Princeton Univ. Press (1975) 175 MR0418127
11	J Nelson, Automatic transversality in contact homology, II : Filtrations and computations, Proc. Lond. Math. Soc. 120 (2020) 853 MR4037833
12	W D Neumann, Brieskorn complete intersections and automorphic forms, Invent. Math. 42 (1977) 285 MR463493
13	W D Neumann, F Raymond, Seifert manifolds, plumbing, μ–invariant and orientation reversing maps, from: "Algebraic and geometric topology" (editor K C Millett), Lecture Notes in Math. 664, Springer (1978) 163 MR518415
14	P Scott, The geometries of 3–manifolds, Bull. Lond. Math. Soc. 15 (1983) 401 MR705527
15	A Selberg, On discontinuous groups in higher-dimensional symmetric spaces, from: "Contributions to function theory" (editor K Chandrasekharan), Tata Inst. Fund. Res. (1960) 147 MR0130324
16	I Ustilovsky, Infinitely many contact structures on S^4m+1, Int. Math. Res. Not. 1999 (1999) 781 MR1704176