Long knots and maps between operads

Details Long knots and maps between operads Long knots and maps between operads

2010-06-04

arxiv.org/abs/1006.0874v1

Mathematics

Algebraic Topology

37 pages

Scientific paper

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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