On spaces of connected graphs II: Relations in the algebra Lambda
| dc.creator | Kneissler, Jan | |
| dc.date | 2003-01-03 | |
| dc.date.accessioned | 2026-07-07T04:54:15Z | |
| dc.date.available | 2026-07-07T04:54:15Z | |
| dc.description | The graded algebra Lambda defined by Pierre Vogel is of general interest in the theory of finite-type invariants of knots and of 3-manifolds because it acts on the corresponding spaces of connected graphs subject to relations called IHX and AS. We examine a subalgebra Lambda_0 that is generated by certain elements called t and x_n with n >= 3. Two families of relations in Lambda_0 are derived and it is shown that the dimension of Lambda_0 grows at most quadratically with respect to degree. Under the assumption that t is not a zero divisor in Lambda_0, a basis of Lambda_0 and an isomorphism from Lambda_0 to a sub-ring of Z[t,u,v] is given. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301019 | |
| dc.identifier | http://arxiv.org/abs/math/0301019 | |
| dc.identifier | Jour. of Knot Theory and its Ramif. vol. 10, no. 5 (2001), 667-674 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66173 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27; 57M25 | |
| dc.title | On spaces of connected graphs II: Relations in the algebra Lambda | |
| dc.type | text |