Link maps and the geometry of their invariants.
Ulrich Koschorke (1988)
Manuscripta mathematica
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Ulrich Koschorke (1988)
Manuscripta mathematica
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Charles H. Giffen (1979)
Mathematica Scandinavica
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Kouki Taniyama (1994)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we define a link homotopy invariant of spatial graphs based on the second degree coefficient of the Conway polynomial of a knot.
B. Schellenberg (1973)
Mathematische Annalen
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Donald W. Kahn (1976)
Mathematische Annalen
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Ulrich Koschorke (2009)
Banach Center Publications
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Basic examples show that coincidence theory is intimately related to central subjects of differential topology and homotopy theory such as Kervaire invariants and divisibility properties of Whitehead products and of Hopf invariants. We recall some recent results and ask a few questions which seem to be important for a more comprehensive understanding.
Keswani, Navin (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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T.D. Cochran (1987)
Inventiones mathematicae
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Ulrich Koschorke (2004)
Fundamenta Mathematicae
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Given a link map f into a manifold of the form Q = N × ℝ, when can it be deformed to an “unlinked” position (in some sense, e.g. where its components map to disjoint ℝ-levels)? Using the language of normal bordism theory as well as the path space approach of Hatcher and Quinn we define obstructions , ε = + or ε = -, which often answer this question completely and which, in addition, turn out to distinguish a great number of different link homotopy classes. In certain cases they even...
Kent E. Orr (1989)
Inventiones mathematicae
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H. Schröder (1984)
Mathematische Annalen
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Michael Mather, Marshall Walker (1980)
Mathematische Zeitschrift
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P.J. HUBER (1961)
Mathematische Annalen
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B. ECKMANN, P.J. HILTON (1960)
Mathematische Annalen
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Dennis Sullivan (2009)
Banach Center Publications
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Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal...