An integral expression of the first nontrivial one-cocycle of the space of long knots in \(\mathbb R^3\)

DOI10.2140/pjm.2011.250.407zbMath1229.57014arXiv1104.0073OpenAlexW3098981588MaRDI QIDQ2431642

Keiichi Sakai

Publication date: 18 April 2011

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0073

zbMATH Keywords

configuration space integralsan action of little cubesCasson's knot invariantGramain cyclesnontrivalent graphsthe space of long knots

Mathematics Subject Classification ID

Loop space machines and operads in algebraic topology (55P48)

Related Items

A Kontsevich integral of order 1 ⋮ The Fox-Hatcher cycle and a Vassiliev invariant of order three ⋮ Deloopings of the spaces of long embeddings