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R. Budney (2003)
Little cubes and long knotsTopology, 46
R. Koytcheff, B. Munson, Ismar Volic (2011)
Configuration space integrals and the cohomology of the space of homotopy string linksarXiv: Algebraic Topology
M. Arkowitz (2011)
Introduction to homotopy theory
J. Baez (2003)
OPERADS IN ALGEBRA, TOPOLOGY AND PHYSICS (Mathematical Surveys and Monographs 96) By M ARTIN M ARKL , S TEVE S HNIDER and J IM S TASHEFF : 349 pp., US$89.00, ISBN 0-8218-2134-2 (American Mathematical Society, Providence, RI, 2002).Bulletin of The London Mathematical Society, 35
J. McClure, Jeffrey Smith (2004)
Operads and Cosimplicial Objects: An IntroductionarXiv: Quantum Algebra
M. Weiss (1999)
Embeddings from the point of view of immersion theory
M. Berger (1990)
Third-order link integralsJournal of Physics A, 23
R. Hain (1984)
Iterated integrals and homotopy periodsMemoirs of the American Mathematical Society, 47
D. DeTurck, H. Gluck, R. Komendarczyk, P. Melvin, Haggai Nuchi, C. Shonkwiler, D. Vela-Vick (2013)
Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows, part IIAlgebraic & Geometric Topology, 13
F. R. Cohen, R. Komendarczyk, C. Shonkwiler (2015)
Homotopy Brunnian links and the κ‐invariant, 143
U. Koschorke (1997)
A generalization of Milnor's μ-invariants to higher-dimensional link mapsTopology, 36
L. Woltjer (1958)
A THEOREM ON FORCE-FREE MAGNETIC FIELDS.Proceedings of the National Academy of Sciences of the United States of America, 44 6
U. Koschorke (2004)
LINK HOMOTOPY IN Sn×ℝm-n AND HIGHER ORDER μ-INVARIANTSJournal of Knot Theory and Its Ramifications, 13
By Moffatt (1969)
The degree of knottedness of tangled vortex linesJournal of Fluid Mechanics, 35
M. Weiss (1996)
Calculus of embeddingsBulletin of the American Mathematical Society, 33
R. Komendarczyk (2009)
The third order helicity of magnetic fields via link maps. IIJournal of Mathematical Physics, 51
D. DeTurck, H. Gluck, R. Komendarczyk, P. Melvin, Haggai Nuchi, C. Shonkwiler, D. Vela-Vick (2012)
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows, Part 2arXiv: Geometric Topology
D. Sullivan (1977)
Infinitesimal computations in topologyPublications Mathématiques de l'Institut des Hautes Études Scientifiques, 47
R. Budney, James Conant, R. Koytcheff, D. Sinha (2014)
Embedding calculus knot invariants are of finite typearXiv: Algebraic Topology
(1994)
Understanding in mathematics
R. Komendarczyk (2008)
The Third Order Helicity of Magnetic Fields via Link MapsCommunications in Mathematical Physics, 292
M. Freedman, Zheng-Xu He (1991)
Divergence-free fields : energy and asymptotic crossing numberAnnals of Mathematics, 134
D. Goldsmith (1974)
Homotopy of Braids — In answer to a question of E. Artin
B. Munson (2009)
Derivatives of the identity and generalizations of Milnor's invariantsJournal of Topology, 4
John Milnob (1957)
Isotopy of links
D. Sinha, Ben Walter (2008)
Lie coalgebras and rational homotopy theory II: Hopf invariantsTransactions of the American Mathematical Society, 365
V. Lorman (1972)
The geometry of iterated loop spaces
(1957)
Algebraic Geometry and Topology, pages 280–306
N. Habegger, Xiaoxia Lin (1990)
The classification of links up to link-homotopyJournal of the American Mathematical Society, 3
U. Koschorke (1991)
Link homotopy.Proceedings of the National Academy of Sciences of the United States of America, 88 1
D. Sinha (2002)
The topology of spaces of knots: cosimplicial modelsAmerican Journal of Mathematics, 131
(2011)
Embedding calculus tower yields finite - type invariants
V. Arnold (1974)
The asymptotic Hopf invariant and its applications
F. Cohen, R. Komendarczyk, C. Shonkwiler (2012)
Homotopy Brunnian links and the $\kappa $-invariant, 143
B. Munson, Ismar Volic (2009)
Multivariable manifold calculus of functors, 24
Koschorke introduced a map from the space of closed n‐component links to the space of maps from the n‐torus to the ordered configuration space of n‐tuples of points in R3. He conjectured that this map separates homotopy links. The purpose of this paper is to construct an analogous map for string links, and to prove (1) this map in fact separates homotopy string links, and (2) Koschorke's original map factors through the map constructed here together with an analog of Markov's closure map defined on the level of certain function spaces.
Bulletin of the London Mathematical Society – Wiley
Published: Apr 1, 2017
Keywords: ; ; ; ; ;
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