Knotted trivalent graphs and construction of the LMO invariant from triangulations

Watanabe, Tadayuki

Osaka J. Math., Tome 44 (2007) no. 1, p. 351-362 / Harvested from Project Euclid

Résumé

We give a Turaev-Viro type construction for the LMO invariant. More precisely, we construct an invariant of closed oriented 3-manifolds from data of their spines or their simplicial decompositions and the values of Kontsevich invariant of the unknotted tetrahedron and the Hopf link by using Bar-Natan and Thurston's operations.

Publié le : 2007-06-14
Classification: 57M27, 57M25

@article{1183667985,
     author = {Watanabe, Tadayuki},
     title = {Knotted trivalent graphs and construction of the LMO invariant from triangulations},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 351-362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183667985}
}

Watanabe, Tadayuki. Knotted trivalent graphs and construction of the LMO invariant from triangulations. Osaka J. Math., Tome 44 (2007) no. 1, pp.  351-362. http://gdmltest.u-ga.fr/item/1183667985/