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Reeb flows transverse to foliations

Jonathan Zung

Geometry & Topology 28 (2024) 3661–3695
Bibliography
1 E Bao, K Honda, Definition of cylindrical contact homology in dimension three, J. Topol. 11 (2018) 1002 MR3989436
2 C Bonatti, S Firmo, Feuilles compactes d’un feuilletage générique en codimension 1, Ann. Sci. École Norm. Sup. 27 (1994) 407 MR1290395
3 J Bowden, Approximating C0–foliations by contact structures, Geom. Funct. Anal. 26 (2016) 1255 MR3568032
4 J Bowden, Contact structures, deformations and taut foliations, Geom. Topol. 20 (2016) 697 MR3493095
5 D Calegari, Leafwise smoothing laminations, Algebr. Geom. Topol. 1 (2001) 579 MR1875608
6 D Calegari, Foliations and the geometry of 3–manifolds, Oxford Univ. Press (2007) MR2327361
7 A Candel, The harmonic measures of Lucy Garnett, Adv. Math. 176 (2003) 187 MR1982882
8 A Candel, L Conlon, Foliations, I, 23, Amer. Math. Soc. (2000) MR1732868
9 A Candel, L Conlon, Foliations, II, 60, Amer. Math. Soc. (2003) MR1994394
10 S Y Cheng, P Li, S T Yau, On the upper estimate of the heat kernel of a complete Riemannian manifold, Amer. J. Math. 103 (1981) 1021 MR630777
11 V Colin, K Honda, Constructions contrôlées de champs de Reeb et applications, Geom. Topol. 9 (2005) 2193 MR2209370
12 V Colin, K Honda, Foliations, contact structures and their interactions in dimension three, from: "Surveys in 3–manifold topology and geometry" (editors I Agol, D Gabai), Surv. Differ. Geom. 25, International (2022) 71 MR4479750
13 B Deroin, V Kleptsyn, Random conformal dynamical systems, Geom. Funct. Anal. 17 (2007) 1043 MR2373011
14 T C Dinh, N Sibony, Introduction to the theory of currents, lecture notes (2005)
15 D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
16 L Garnett, Foliations, the ergodic theorem and Brownian motion, J. Funct. Anal. 51 (1983) 285 MR703080
17 S E Goodman, J F Plante, Holonomy and averaging in foliated sets, J. Differential Geom. 14 (1979) 401 MR0594710
18 E P Hsu, Stochastic analysis on manifolds, 38, Amer. Math. Soc. (2002) MR1882015
19 I Ishii, M Ishikawa, Y Koda, H Naoe, Positive flow-spines and contact 3–manifolds, Ann. Mat. Pura Appl. 202 (2023) 2091 MR4634260
20 W H Kazez, R Roberts, C0 approximations of foliations, Geom. Topol. 21 (2017) 3601 MR3693573
21 T Li, Laminar branched surfaces in 3–manifolds, Geom. Topol. 6 (2002) 153 MR1914567
22 P Mörters, Y Peres, Brownian motion, 30, Cambridge Univ. Press (2010) MR2604525
23 D Ruelle, D Sullivan, Currents, flows and diffeomorphisms, Topology 14 (1975) 319 MR0415679
24 R Sacksteder, Foliations and pseudogroups, Amer. J. Math. 87 (1965) 79 MR174061
25 D Sullivan, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36 (1976) 225 MR433464
26 D Tischler, On fibering certain foliated manifolds over S1, Topology 9 (1970) 153 MR256413
27 T Vogel, On the uniqueness of the contact structure approximating a foliation, Geom. Topol. 20 (2016) 2439 MR3556346
28 B Zhang, Monopoles and foliations without holonomy-invariant transverse measure, J. Symplectic Geom. 20 (2022) 191 MR4518251