The Topology of Spaces of Knots
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چکیده
We present two models for the space of knots which have endpoints at fixed boundary points in a manifold with boundary, one model defined as an inverse limit of mapping spaces and another which is cosimplicial. These models are homotopy equivalent to the corresponding knot spaces when the dimension of the ambient manifold is greater than three, and there are spectral sequences with identifiable E terms which converge to their cohomology and homotopy groups. The combinatorics of the spectral sequences is comparable to combinatorics which arises in finite-type invariant theory.
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تاریخ انتشار 2002