Long knots and maps between operads
Algebraic Topology
2014-11-11 v1 Category Theory
Geometric Topology
Abstract
We identify the space of tangentially straightened long knots in R^m, for m greater than or equal to 4, as the double loops on the space of derived operad maps from the associative operad into a version of the little m-disk operad. This verifies a conjecture of Kontsevich, Lambrechts, and Turchin.
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Cite
@article{arxiv.1006.0874,
title = {Long knots and maps between operads},
author = {William Dwyer and Kathryn Hess},
journal= {arXiv preprint arXiv:1006.0874},
year = {2014}
}
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37 pages