-
1
-
-
10144223556
-
On a new integral formula for an invariant of 3-component oriented links
-
Akhmetiev P.: On a new integral formula for an invariant of 3-component oriented links. J. Geom. Phys. 53(2), 180-196 (2005).
-
(2005)
J. Geom. Phys.
, vol.53
, Issue.2
, pp. 180-196
-
-
Akhmetiev, P.1
-
2
-
-
0000866621
-
The asymptotic Hopf invariant and its applications
-
Arnold V.: The asymptotic Hopf invariant and its applications. Selecta Math. Soviet. 5(4), 327-345 (1986).
-
(1986)
Selecta Math. Soviet.
, vol.5
, Issue.4
, pp. 327-345
-
-
Arnold, V.1
-
3
-
-
0003356898
-
Topological Methods in Hydrodynamics
-
New York: Springer-Verlag
-
Arnold V., Khesin B.: Topological methods in hydrodynamics. Vol 125 of Applied Mathematical Sciences. Springer-Verlag, New York (1998).
-
(1998)
Applied Mathematical Sciences
, vol.125
-
-
Arnold, V.1
Khesin, B.2
-
4
-
-
0002096420
-
Multiparameter groups of measure-preserving transformations: A simple proof of Wiener's ergodic theorem
-
Becker M.E.: Multiparameter groups of measure-preserving transformations: a simple proof of Wiener's ergodic theorem. Ann. Probab. 9(3), 504-509 (1981).
-
(1981)
Ann. Probab.
, vol.9
, Issue.3
, pp. 504-509
-
-
Becker, M.E.1
-
5
-
-
0001641002
-
Third-order link integrals
-
Berger M.: Third-order link integrals. J. Phys. A 23(13), 2787-2793 (1990).
-
(1990)
J. Phys. A
, vol.23
, Issue.13
, pp. 2787-2793
-
-
Berger, M.1
-
6
-
-
0003285219
-
Differential Forms in Algebraic Topology
-
New York: Springer-Verlag
-
Bott R., Tu L.: Differential forms in algebraic topology. Volume 82 of Graduate Texts in Mathematics. Springer-Verlag, New York (1982).
-
(1982)
Graduate Texts in Mathematics
, vol.82
-
-
Bott, R.1
Tu, L.2
-
8
-
-
0035529639
-
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics
-
Cantarella J., DeTurck D., Gluck H.: The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. J. Math. Phys. 42(2), 876-905 (2001).
-
(2001)
J. Math. Phys.
, vol.42
, Issue.2
, pp. 876-905
-
-
Cantarella, J.1
DeTurck, D.2
Gluck, H.3
-
9
-
-
0034336602
-
Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators
-
Cantarella J., DeTurck D., Gluck D., Teytel M.: Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. J. Math. Phys. 41(8), 5615-5641 (2000).
-
(2000)
J. Math. Phys.
, vol.41
, Issue.8
, pp. 5615-5641
-
-
Cantarella, J.1
DeTurck, D.2
Gluck, D.3
Teytel, M.4
-
11
-
-
0003331256
-
Eigenvalues in Riemannian geometry
-
Includes a chapter by Burton Randol. With an appendix by Jozef Dodziuk, Orlando, FL: Academic Press Inc.
-
Chavel, I.: Eigenvalues in Riemannian geometry. Includes a chapter by Burton Randol. With an appendix by Jozef Dodziuk, Volume 115 of Pure and Applied Mathematics. Orlando, FL: Academic Press Inc., 1984.
-
(1984)
Pure and Applied Mathematics
, vol.115
-
-
Chavel, I.1
-
12
-
-
70350251651
-
-
DeTurck, D., Gluck, H., Komendarczyk, R., Melvin, P., Shonkwiler, C., Vela-Vick, D.: Triple linking numbers, Hopf invariants and Integral formulas for three-component links. http://arxiv.org/abs/0901.1612v1[math,GT], 2009.
-
(2009)
Triple Linking Numbers, Hopf Invariants and Integral Formulas for Three-Component Links
-
-
DeTurck, D.1
Gluck, H.2
Komendarczyk, R.3
Melvin, P.4
Shonkwiler, C.5
Vela-Vick, D.6
-
13
-
-
0039826150
-
A hierarchy of linking integrals
-
In: Topological aspects of the dynamics of fluids and plasmas (Santa Barbara, CA, 1991), Dordrecht: Kluwer Acad. Publ.
-
Evans, N.W., Berger, M.A.: A hierarchy of linking integrals. In: Topological aspects of the dynamics of fluids and plasmas (Santa Barbara, CA, 1991), Volume 218 of NATO Adv. Sci. Inst. Ser. E Appl. Sci., Dordrecht: Kluwer Acad. Publ., 1992, pp. 237-248.
-
(1992)
NATO Adv. Sci. Inst. Ser. E Appl. Sci.
, vol.218
, pp. 237-248
-
-
Evans, N.W.1
Berger, M.A.2
-
14
-
-
84968614524
-
Zeldovich's neutron star and the prediction of magnetic froth
-
In: The Arnoldfest (Toronto, ON, 1997), Providence, RI: Amer. Math. Soc.
-
Freedman, M.: Zeldovich's neutron star and the prediction of magnetic froth. In: The Arnoldfest (Toronto, ON, 1997), Volume 24 of Fields Inst. Commun., Providence, RI: Amer. Math. Soc., 1999, pp. 165-172.
-
(1999)
Fields Inst. Commun.
, vol.24
, pp. 165-172
-
-
Freedman, M.1
-
15
-
-
0001723178
-
Divergence-free fields: Energy and asymptotic crossing number
-
Freedman M., He Z.: Divergence-free fields: energy and asymptotic crossing number. Ann. of Math. (2) 134(1), 189-229 (1991).
-
(1991)
Ann. of Math. (2)
, vol.134
, Issue.1
, pp. 189-229
-
-
Freedman, M.1
He, Z.2
-
16
-
-
0031280927
-
Enlacements asymptotiques
-
Gambaudo J.-M., Ghys É.: Enlacements asymptotiques. Topology 36(6), 1355-1379 (1997).
-
(1997)
Topology
, vol.36
, Issue.6
, pp. 1355-1379
-
-
Gambaudo, J.-M.1
Ghys, É.2
-
17
-
-
0004193355
-
-
Cambridge: Cambridge University Press
-
Hatcher A.: Algebraic topology. Cambridge University Press, Cambridge (2002).
-
(2002)
Algebraic topology
-
-
Hatcher, A.1
-
18
-
-
0345293440
-
Ergodic interpretation of integral hydrodynamic invariants
-
Khesin B.: Ergodic interpretation of integral hydrodynamic invariants. J. Geom. Phys. 9(1), 101-110 (1992).
-
(1992)
J. Geom. Phys.
, vol.9
, Issue.1
, pp. 101-110
-
-
Khesin, B.1
-
19
-
-
18744373434
-
Topological fluid dynamics
-
Khesin B.: Topological fluid dynamics. Notices Amer. Math. Soc. 52(1), 9-19 (2005).
-
(2005)
Notices Amer. Math. Soc.
, vol.52
, Issue.1
, pp. 9-19
-
-
Khesin, B.1
-
20
-
-
33645833269
-
Loop spaces of configuration spaces and finite type invariants
-
In: of knots and 3-manifolds (Kyoto, 2001), Coventry: Geom. Topol. Publ., (electronic)
-
Kohno, T.: Loop spaces of configuration spaces and finite type invariants. In: of knots and 3-manifolds (Kyoto, 2001), Volume 4 of Geom. Topol. Monogr. Coventry: Geom. Topol. Publ., 2002, pp. 143-160 (electronic).
-
(2002)
Geom. Topol. Monogr
, vol.4
, pp. 143-160
-
-
Kohno, T.1
-
21
-
-
0031097730
-
A generalization of Milnor's μ-invariants to higher-dimensional link maps
-
Koschorke U.: A generalization of Milnor's μ-invariants to higher-dimensional link maps. Topology 36(2), 301-324 (1997).
-
(1997)
Topology
, vol.36
, Issue.2
, pp. 301-324
-
-
Koschorke, U.1
-
22
-
-
12144272045
-
Link homotopy in $${S\sp n\times \mathbb R\sp {m-n}}$$ and higher order μ-invariants
-
Koschorke U.: Link homotopy in $${S\sp n\times \mathbb R\sp {m-n}}$$ and higher order μ-invariants. J. Knot Theory Ramifications 13(7), 917-938 (2004).
-
(2004)
J. Knot Theory Ramifications
, vol.13
, Issue.7
, pp. 917-938
-
-
Koschorke, U.1
-
24
-
-
0001197216
-
A Moffatt-Arnold formula for the mutual helicity of linked flux tubes
-
Laurence P., Avellaneda M.: A Moffatt-Arnold formula for the mutual helicity of linked flux tubes. Geophys. Astrophys. Fluid Dynam. 69(1-4), 243-256 (1993).
-
(1993)
Geophys. Astrophys. Fluid Dynam.
, vol.69
, Issue.1-4
, pp. 243-256
-
-
Laurence, P.1
Avellaneda, M.2
-
25
-
-
0034347397
-
Asymptotic Massey products, induced currents and Borromean torus links
-
Laurence P., Stredulinsky E.: Asymptotic Massey products, induced currents and Borromean torus links. J. Math. Phys. 41(5), 3170-3191 (2000).
-
(2000)
J. Math. Phys.
, vol.41
, Issue.5
, pp. 3170-3191
-
-
Laurence, P.1
Stredulinsky, E.2
-
26
-
-
0034238552
-
A lower bound for the energy of magnetic fields supported in linked tori
-
Laurence P., Stredulinsky E.: A lower bound for the energy of magnetic fields supported in linked tori. C. R. Acad. Sci. Paris Sér. I Math. 331(3), 201-206 (2000).
-
(2000)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.331
, Issue.3
, pp. 201-206
-
-
Laurence, P.1
Stredulinsky, E.2
-
27
-
-
10144255595
-
Topological link invariants of magnetic fields
-
Mayer, C.: Topological link invariants of magnetic fields. Ph.D. thesis, 2003.
-
(2003)
Ph.D. thesis
-
-
Mayer, C.1
-
28
-
-
0001349313
-
Link groups
-
Milnor J.: Link groups. Ann. of Math. (2) 59, 177-195 (1954).
-
(1954)
Ann. of Math. (2)
, vol.59
, pp. 177-195
-
-
Milnor, J.1
-
29
-
-
0002333550
-
Isotopy of links
-
In: R. Fox, editor
-
Milnor, J.: Isotopy of links. In: R. Fox, editor, Algebraic Geometry and Topology, Princeton, NJ: Princeton University Press, 1957, pp. 280-306.
-
(1957)
Algebraic Geometry and Topology
, pp. 280-306
-
-
Milnor, J.1
-
30
-
-
0004268695
-
-
Chapter 7 in Princeton Landmarks in Mathematics and Physics. Princeton, NJ: Princeton University Press, (Revised reprint of 1965 original)
-
Milnor, J.: Topology from the Differentiable Viewpoint. Chapter 7 in Princeton Landmarks in Mathematics and Physics. Princeton, NJ: Princeton University Press, 1997 (Revised reprint of 1965 original).
-
(1997)
Topology from the Differentiable Viewpoint
-
-
Milnor, J.1
-
31
-
-
0035285749
-
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
-
Providence, RI: Amer. Math. Soc.
-
Mitrea, D., Mitrea, M., Taylor, M.: Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. Mem. Amer. Math. Soc. 150, no. 713, Providence, RI: Amer. Math. Soc., 2001.
-
(2001)
Mem. Amer. Math. Soc.
, vol.150
, Issue.713
-
-
Mitrea, D.1
Mitrea, M.2
Taylor, M.3
-
33
-
-
25344470946
-
High-dimensional helicities and rigidity of linked foliations
-
Rivière T.: High-dimensional helicities and rigidity of linked foliations. Asian J. Math. 6(3), 505-533 (2002).
-
(2002)
Asian J. Math.
, vol.6
, Issue.3
, pp. 505-533
-
-
Rivière, T.1
-
34
-
-
0003196889
-
Hodge decomposition-a method for solving boundary value problems
-
Berlin: Springer-Verlag
-
Schwarz, G.: Hodge decomposition-a method for solving boundary value problems. Vol. 1607 of Lecture Notes in Mathematics. Berlin: Springer-Verlag, 1995.
-
(1995)
Lecture Notes in Mathematics
, vol.1607
-
-
Schwarz, G.1
-
35
-
-
33751540992
-
A survey on the differential and symplectic geometry of linking numbers
-
Spera M.: A survey on the differential and symplectic geometry of linking numbers. Milan J. Math. 74, 139-197 (2006).
-
(2006)
Milan J. Math.
, vol.74
, pp. 139-197
-
-
Spera, M.1
-
36
-
-
1442286937
-
Link invariants of electromagnetic fields
-
Bodecker H., Hornig G.: Link invariants of electromagnetic fields. Phys. Rev. Lett. 92(3), 030406 (2004) 4.
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.3
-
-
Bodecker, H.1
Hornig, G.2
-
37
-
-
21344494184
-
The Jones-Witten invariant for flows on a 3-dimensional manifold
-
Verjovsky A., Vila Freyer R.F.: The Jones-Witten invariant for flows on a 3-dimensional manifold. Commun. Math. Phys. 163(1), 73-88 (1994).
-
(1994)
Commun. Math. Phys.
, vol.163
, Issue.1
, pp. 73-88
-
-
Verjovsky, A.1
Vila Freyer, R.F.2
-
38
-
-
0038805452
-
On the asymptotic linking number
-
(electronic)
-
Vogel T.: On the asymptotic linking number. Proc. Amer. Math. Soc. 131(7), 2289-2297 (2003) (electronic).
-
(2003)
Proc. Amer. Math. Soc.
, vol.131
, Issue.7
, pp. 2289-2297
-
-
Vogel, T.1
-
39
-
-
0001765032
-
A theorem on force-free magnetic fields
-
Woltjer L.: A theorem on force-free magnetic fields. Proc. Nat. Acad. Sci. U.S.A. 44, 489-491 (1958).
-
(1958)
Proc. Nat. Acad. Sci. U.S.A.
, vol.44
, pp. 489-491
-
-
Woltjer, L.1
|