Long knots and maps between operads

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Abstract

We identify the space of tangentially straightened long knots in R m, m>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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APA

Dwyer, W., & Hess, K. (2012). Long knots and maps between operads. Geometry and Topology, 16(2), 919–955. https://doi.org/10.2140/gt.2012.16.919

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