A. A. Abrikosov, The magnetic properties of superconducting alloys, Journal of Physics and Chemistry of Solids, vol.2, issue.3, pp.199-208, 1957.
DOI : 10.1016/0022-3697(57)90083-5

D. Arasse, Léonard de Vinci, 1997.

V. I. Arnold, Catastrophe Theory, 1984.

J. L. Bell, The Continuous and the Infinitesimal in Mathematics and Philosophy. Polimetrica , Milano, 2006. see also Bell's article with the same title in the Stanford Encyclopedia of Philosophy

D. J. Bishop and J. D. Reppy, Films, Physical Review Letters, vol.40, issue.26, pp.1727-1730, 1978.
DOI : 10.1103/PhysRevLett.40.1454

A. Cappelli, E. Castellani, F. Colomo, and P. D. Vecchia, The birth of string theory
DOI : 10.1017/CBO9780511977725

P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics, 1995.

F. Chevy and J. Dalibard, Rotating Bose-Einstein condensates, Europhysics News, vol.37, issue.1, pp.12-16, 2006.
DOI : 10.1051/epn:2006101

S. Dehaene, The number sense. How the mind creates mathematics, 1997.

R. Descartes, Principia philosophiae. Ludovicum Elzevirium, Amsterdam, 1644

P. A. Dirac, Quantised Singularities in the Electromagnetic Field, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.133, issue.821, pp.60-72, 1931.
DOI : 10.1098/rspa.1931.0130

M. Epple, Topology, Matter, and Space, I: Topological Notions in 19th-Century Natural Philosophy, Archive for History of Exact Sciences, vol.52, issue.4, pp.297-392, 1998.
DOI : 10.1007/s004070050019

V. Fuentes, On the topology of vortex lines and tubes, Journal of Fluid Mechanics, vol.6, pp.147-156, 2007.
DOI : 10.1017/S0370164600045430

E. H. Gombrich, The form of movement in water and air, pp.171-204, 1969.

E. H. Gombrich, The Heritage of Apelles, volume 3 of Studies in the Art of the Renaissance, 1976.

H. Helmholtz, Über Integrale der hydrodynamischen Gleichungen, welche der Wirbelbewegungen entsprechen, J. Reine Angew. Math, vol.55, pp.22-55, 1858.
DOI : 10.1515/crll.1858.55.25

H. Helmholtz, On the integrals of the hydrodynamical equations, which express vortex-motion, Philos. Mag., supp, vol.33, issue.226, pp.485-512, 1858.

H. F. Hess, R. B. Robinson, R. C. Dynes, J. M. Valles-jr, and J. V. Waszczak, Scanning-Tunneling-Microscope Observation of the Abrikosov Flux Lattice and the Density of States near and inside a Fluxoid, Physical Review Letters, vol.269, issue.2, pp.214-216, 1989.
DOI : 10.1007/BF01668869

K. Huang, Statistical Mechanics John Wiley and sons, 1987.

D. Kleckner and W. T. Irvine, Creation and dynamics of knotted vortices, Nature Physics, vol.34, issue.4, pp.253-258, 2013.
DOI : 10.1143/JPSJ.38.1159

J. M. Kosterlitz and D. J. Thouless, Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory), Journal of Physics C: Solid State Physics, vol.5, issue.11, pp.124-126, 1972.
DOI : 10.1088/0022-3719/5/11/002

J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics, vol.6, issue.7, pp.1181-1203, 1973.
DOI : 10.1088/0022-3719/6/7/010

H. Kragh, The Vortex Atom: A Victorian Theory of Everything, Centaurus, vol.44, issue.1-2, pp.32-114, 2002.
DOI : 10.1034/j.1600-0498.2002.440102.x

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Vortex Formation in a Stirred Bose-Einstein Condensate, Physical Review Letters, vol.58, issue.5, pp.806-809, 2000.
DOI : 10.1103/PhysRevA.58.3168

K. Moffatt, Vortex Dynamics: The Legacy of Helmholtz and Kelvin, pp.1-10, 2008.
DOI : 10.1007/978-1-4020-6744-0_1

A. Mouchet, Symmetry: a bridge between nature and culture, pp.235-244, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01121004

M. Nakahara, Geometry, Topology and Physics. Graduate student series in physics, 1990.
DOI : 10.1887/0750306068

C. Nash, Topology and Physics ? a Historical Essay, pp.359-415, 1999.
DOI : 10.1016/B978-044482375-5/50013-4

URL : http://arxiv.org/abs/hep-th/9709135

A. Pasipoularides, Heart's vortex. Intracardiac blood flow phenomena. People's Medical Publishing House -USA, 2010.

. Plutarch, Lives, volume I of Loeb classical library, 1914.

T. Poston and I. Stewart, Catastrophe Theory and Its Applications, Journal of Applied Mechanics, vol.46, issue.2, 1978.
DOI : 10.1115/1.3424591

C. Raman, J. R. Abo-shaeer, J. M. Vogels, K. Xu, and W. Ketterle, Vortex Nucleation in a Stirred Bose-Einstein Condensate, Physical Review Letters, vol.82, issue.21, p.210402, 2001.
DOI : 10.1103/PhysRevLett.82.4371

URL : http://arxiv.org/abs/cond-mat/0106235

W. J. Rankine, On the centrifugal theory of elasticity, as applied to gases and vapours, Philos. Mag., supp, vol.2, issue.14, pp.509-542, 1851.

W. J. Rankine, A manual of applied mechanics. Professor Rankine's series of practical manuals on civil engineering and mechanics, 1858.

W. J. Rankine, Miscellaneous scientific papers, Charles Griffin and compagny, p.1881

N. Sator and N. Pavloff, Physique statistique, 2016.

R. H. Silliman, William thomson: Smoke rings and nineteenth-century atomism, Isis, vol.54, issue.4, pp.461-474, 1963.

M. C. Stokes, One and many in pre-socratic philosophy. (Publications of the Center for Hellenic Studies), 1971.

P. G. Tait, 2. On Knots. Part II., Proceedings of the Royal Society of Edinburgh, vol.12, pp.327-342, 1884.
DOI : 10.1017/S037016460000122X

URL : https://hal.archives-ouvertes.fr/hal-00756619

W. Thomson, 4. On Vortex Atoms., Proceedings of the Royal Society of Edinburgh, vol.6, pp.94-106, 1867.
DOI : 10.1017/S0370164600045430

URL : https://hal.archives-ouvertes.fr/in2p3-00416546

W. Thomson, VI.?On Vortex Motion, Transactions of the Royal Society of Edinburgh, vol.i, issue.01, pp.217-260, 1869.
DOI : 10.1017/S0080456800028179

D. J. Thouless, Topological Quantum Numbers in Nonrelativistic Physics, World Scientific, 1998.
DOI : 10.1142/9789812386298

E. J. Yarmchuk, J. V. Gordon, and R. E. Packard, Observation of Stationary Vortex Arrays in Rotating Superfluid Helium, Physical Review Letters, vol.161, issue.3, pp.214-217, 1979.
DOI : 10.1103/PhysRev.161.189

B. Zwiebach, A first course in string theory, 2004.
DOI : 10.1017/cbo9780511841682