A one-dimensional embedding complex

  title={A one-dimensional embedding complex},
  author={Kevin P. Scannella and Dev P. Sinhab},
We give the 1rst explicit computations of rational homotopy groups of spaces of “long knots” in Euclidean spaces. We de1ne a spectral sequence which converges to these rational homotopy groups whose E term is de1ned in terms of familiar Lie algebras. For odd k we establish a vanishing line for this spectral sequence, show the Euler characteristic of the rows of this E term is zero, and make calculations of E in a 1nite range. c © 2002 Elsevier Science B.V. All rights reserved. MSC: Primary… CONTINUE READING

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