Two-loop part of the rational homotopy of spaces of long embeddings

Jean Costello; Jim Conant; Patrick Weed; Victor Tourtchine

arxiv: 1310.0937 · v2 · pith:CKKZO2HTnew · submitted 2013-10-03 · 🧮 math.AT · math.QA

Two-loop part of the rational homotopy of spaces of long embeddings

Jim Conant , Jean Costello , Victor Tourtchine , Patrick Weed This is my paper

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keywords embeddingsgraph-complexeshomotopylongpartrationalspacestwo-loop

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Arone and Turchin defined graph-complexes computing the rational homotopy of the spaces of long embeddings. The graph-complexes split into a direct sum by the number of loops in graphs. In this paper we compute the homology of its two-loop part.

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Two-loop part of the rational homotopy of spaces of long embeddings

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