Two-loop part of the rational homotopy of spaces of long embeddings
- Resource Type
- Working Paper
- Authors
- Conant, Jim; Costello, Jean; Tourtchine, Victor; Weed, Patrick
- Source
- Subject
- Mathematics - Algebraic Topology
Mathematics - Quantum Algebra
Primary: 57R40, Secondary: 57R42, 55P62
- Language
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.
Comment: 19 pages, 2 figures. (No changes with previous version)