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Toward a general theory of linking invariants - MaRDI portal

Toward a general theory of linking invariants (Q813157)

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Toward a general theory of linking invariants
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    Toward a general theory of linking invariants (English)
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    30 January 2006
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    This paper describes a general framework in which one can define linking invariants. For smooth manifolds \(N_1\), \(N_2\), and \(M\), one has a pairing on the bordism groups of spaces of maps of \(N_1\) into \(M\) and of \(N_2\) into \(M\). This pairing leads to classical linking invariants and numerous generalizations.
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    Linking invariants
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    winding numbers
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    Goldman bracket
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    wave fronts
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    causality
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    bordisms
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    intersections
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    isotopy
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    embeddings
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