@article{WBLN_2017__4__A4_0,
author = {Vera V\'ertesi},
title = {Braids in {Contact} 3{\textendash}manifolds},
journal = {Winter Braids Lecture Notes},
note = {talk:4},
publisher = {Winter Braids School},
volume = {4},
year = {2017},
doi = {10.5802/wbln.20},
language = {en},
url = {https://wbln.centre-mersenne.org/articles/10.5802/wbln.20/}
}
TY - JOUR TI - Braids in Contact 3–manifolds JO - Winter Braids Lecture Notes N1 - talk:4 PY - 2017 DA - 2017/// VL - 4 PB - Winter Braids School UR - https://wbln.centre-mersenne.org/articles/10.5802/wbln.20/ UR - https://doi.org/10.5802/wbln.20 DO - 10.5802/wbln.20 LA - en ID - WBLN_2017__4__A4_0 ER -
Vera Vértesi. Braids in Contact 3–manifolds. Winter Braids Lecture Notes, Volume 4 (2017), Talk no. 4, 23 p. doi : 10.5802/wbln.20. https://wbln.centre-mersenne.org/articles/10.5802/wbln.20/
[Ale20] James Waddell Alexander. Note on riemann spaces. Bull. Amer. Math. Soc., 26:370–372, 1920.
[Ben83] Daniel Bennequin. Entrelacements et équations de Pfaff. In Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982), volume 107 of Astérisque, pages 87–161. Soc. Math. France, Paris, 1983.
[BF98] Joan S. Birman and Elizabeth Finkelstein. Studying surfaces via closed braids. J. Knot Theory Ramifications, 7(3):267–334, 1998.
[EFM01] Judith Epstein, Dmitry Fuchs, and Maike Meyer. Chekanov-Eliashberg invariants and transverse approximations of Legendrian knots. Pacific J. Math., 201(1):89–106, 2001.
[Etn03] John B. Etnyre. Introductory lectures on contact geometry. In Topology and geometry of manifolds (Athens, GA, 2001), volume 71 of Proc. Sympos. Pure Math., pages 81–107. Amer. Math. Soc., Providence, RI, 2003.
[Etn06] John B. Etnyre. Lectures on open book decompositions and contact structures. In Floer homology, gauge theory, and low-dimensional topology, volume 5 of Clay Math. Proc., pages 103–141. Amer. Math. Soc., Providence, RI, 2006.
[EV17] John B. Etnyre and Vera Vértesi. Legendrian satellites. IMRN, 2017.
[Gab83] David Gabai. The Murasugi sum is a natural geometric operation. In Low-dimensional topology (San Francisco, Calif., 1981), volume 20 of Contemp. Math., pages 131–143. Amer. Math. Soc., Providence, RI, 1983.
[Gei06] Hansjörg Geiges. Contact geometry. In Handbook of differential geometry. Vol. II, pages 315–382. Elsevier/North-Holland, Amsterdam, 2006.
[Gir00] Emmanuel Giroux. Structures de contact en dimension trois et bifurcations des feuilletages de surfaces. Invent. Math., 141(3):615–689, 2000.
[Gir02] Emmanuel Giroux. Géométrie de contact: de la dimension trois vers les dimensions supérieures. In Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), pages 405–414. Higher Ed. Press, Beijing, 2002.
[HKM07] Ko Honda, William H. Kazez, and Gordana Matić. Right-veering diffeomorphisms of compact surfaces with boundary. Invent. Math., 169(2):427–449, 2007.
[IK14] Tetsuya Ito and Keiko Kawamuro. Open book foliation. Geom. Topol., 18(3):1581–1634, 2014.
[Lic62] W. B. R. Lickorish. A representation of orientable combinatorial -manifolds. Ann. of Math. (2), 76:531–540, 1962.
[OS04] Burak Ozbagci and András I. Stipsicz. Surgery on contact 3-manifolds and Stein surfaces, volume 13 of Bolyai Society Mathematical Studies. Springer-Verlag, Berlin; János Bolyai Mathematical Society, Budapest, 2004.
[Pav11] Elena Pavelescu. Braiding knots in contact 3-manifolds. Pacific J. Math., 253(2):475–487, 2011.
[Sko92] Richard K. Skora. Closed braids in -manifolds. Math. Z., 211(2):173–187, 1992.
[Sun93] Paul A. Sundheim. The Alexander and Markov theorems via diagrams for links in -manifolds. Trans. Amer. Math. Soc., 337(2):591–607, 1993.
[TW75] W. P. Thurston and H. E. Winkelnkemper. On the existence of contact forms. Proc. Amer. Math. Soc., 52:345–347, 1975.
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