Volume 22, issue 1 (2022)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22, 1 issue

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Cylindrical contact homology of $3$–dimensional Brieskorn manifolds

Sebastian Haney and Thomas E Mark

Algebraic & Geometric Topology 22 (2022) 153–187
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 S4m+1, Int. Math. Res. Not. 1999 (1999) 781 MR1704176