The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres
| dc.creator | Levine, Jerome | |
| dc.date | 2004-08-23 | |
| dc.date.accessioned | 2026-07-07T05:11:28Z | |
| dc.date.available | 2026-07-07T05:11:28Z | |
| dc.description | In a recent paper we defined a new filtration of the mapping class group--the "Lagrangian" filtration. We here determine the successive quotients of this filtration, up to finite index. As an application we show that, for any additive invariant of finite-type (e.g. the Casson invariant), and any level of the Lagrangian filtration, there is a homology 3-sphere which has a Heegaard decomposition whose gluing diffeomorphism lies at that level, on which this invariant is non-zero. In a final section we examine the relationship between the Johnson and Lagrangian filtrations. | |
| dc.description | 12 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0408310 | |
| dc.identifier | http://arxiv.org/abs/math/0408310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72255 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57N10; 57M25 | |
| dc.title | The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres | |
| dc.type | text |