Habegger, N; Beliakova, A (2000). The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant. Journal of Knot Theory and Its Ramifications, 9(4):459-470.
We give a direct computational proof that the degree 1 part of the Le-Murakami-Ohtsuki invariant of a closed oriented 3-manifold M is determined by the Casson-Walker-Lescop invariant. Moreover, if the first Betti number of M is equal to 2, the Le-Murakami-Ohtsuki invariant is determined by the Lescop generalization of the Casson-Walker invariant.
We give a direct computational proof that the degree 1 part of the Le-Murakami-Ohtsuki invariant of a closed oriented 3-manifold M is determined by the Casson-Walker-Lescop invariant. Moreover, if the first Betti number of M is equal to 2, the Le-Murakami-Ohtsuki invariant is determined by the Lescop generalization of the Casson-Walker invariant.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | 2000 |
| Deposited On: | 19 Apr 2010 10:27 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | World Scientific Publishing |
| ISSN: | 0218-2165 |
| Additional Information: | Electronic version of an article published as J. Knot Theory Ramifications 9 (2000), no. 4, 459--470 © 2000 copyright World Scientific Publishing Company http://www.worldscinet.com/jktr/jktr.shtml |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1142/S0218216500000232 |
Habegger, N