On Vassiliev knot invariants induced from finite type 3-manifold invariants
| dc.creator | Greenwood, Matt | |
| dc.creator | Lin, Xiao-Song | |
| dc.date | 1995-06-01 | |
| dc.date.accessioned | 2026-07-07T09:16:35Z | |
| dc.date.available | 2026-07-07T09:16:35Z | |
| dc.description | We prove that the knot invariant induced by a $\Bbb Z$-homology 3-sphere invariant of order $\leq k$ in Ohtsuki's sense, where $k\geq 4$, is of order $\leq k-2$. The method developed in our computation shows that there is no $\Bbb Z$-homology 3-sphere invariant of order 5. This result agrees with a conjecture of Rozansky based on physical predictions about the asymptotic behavior of Witten's Chern-Simons path integral. | |
| dc.description | 14 pages, amslatex, 9 figures not included. The compressed archive of the amslatex file and 9 postscript figure files can be obtained at ftp://math.columbia.edu/pub/lin/gl.tar.Z | |
| dc.identifier | https://arxiv.org/abs/q-alg/9506001 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9506001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153400 | |
| dc.subject | Quantum Algebra | |
| dc.title | On Vassiliev knot invariants induced from finite type 3-manifold invariants | |
| dc.type | text |