Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism
| dc.creator | Garoufalidis, Stavros | |
| dc.creator | Levine, Jerome | |
| dc.date | 1999-04-20 | |
| dc.date | 2003-10-14 | |
| dc.date.accessioned | 2026-07-07T05:28:45Z | |
| dc.date.available | 2026-07-07T05:28:45Z | |
| dc.description | Two references added and the introduction slightly expanded. We show that the tree-level part of a recent theory of invariants of 3-manifolds (due, independently, to Goussarov and Habiro) is essentially given by classical algebraic topology in terms of the Johnson homomorphism and Massey products, for arbitrary 3-manifolds. A key role of our proof is played by the notion of a homology cylinder, viewed as an enlargement of the mapping class group, and an apparently new Lie algebra of graphs colored by the first homology of a closed surface, closely related to deformation quantization on a surface as well as to a Lie algebra that encodes the symmetries of Massey products and the Johnson homomorphism. In addition, we present a realization theorem for Massey products and the Johnson homomorphism on homology cylinders. | |
| dc.description | AMS-LaTeX, 26 pages with 15 figures | |
| dc.identifier | https://arxiv.org/abs/math/9904106 | |
| dc.identifier | http://arxiv.org/abs/math/9904106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78380 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism | |
| dc.type | text |