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Non injectivity of the "hair" map
Patureau-Mirand, Bertrand
HAL, hal-00128599 / Harvested from HAL
Text on HAL
Kricker and Garoufalidis have constructed an invariant of knots Z^rat with values in a space of diagrams with beads. When composed with the so called ``hair'' map H, It gives the Kontsevich integral of the knot. We introduce a new grading on diagrams with beads and use it to show that a non trivial element constructed with Vogel's zero divisor in the algebra Lambda is in the kernel of H. This shows that H is not injective.
Publié le : 2002-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] 
@article{hal-00128599,
     author = {Patureau-Mirand, Bertrand},
     title = {Non injectivity of the "hair" map},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00128599}
}

Patureau-Mirand, Bertrand. Non injectivity of the "hair" map. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00128599/