Long knots and maps between operads

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.


Published in:
Geometry and Topology, 16, 919-955
Year:
2012
Publisher:
Coventry, Geometry & Topology Publications
ISSN:
1465-3060
Laboratories:




 Record created 2010-06-15, last modified 2018-03-17

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