On the Combinatorial Structure of Primitive Vassiliev Invariants, III - A Lower Bound

Simple item page
dc.creatorDasbach, Oliver T.
dc.date1998-06-16
dc.date.accessioned2026-07-07T08:08:54Z
dc.date.available2026-07-07T08:08:54Z
dc.descriptionWe prove that the dimension of the space of primitive Vassiliev invariants of degree n grows - as n tends to infinity - faster than Exp(c Sqrt(n)) for any c < Pi Sqrt (2/3). The proof relies on the use of the weight systems coming from the Lie algebra gl(N). In fact, we show that our bound is - up to multiplication with a rational function in n - the best possible that one can get with gl(N)-weight systems.
dc.description11 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/9806086
dc.identifierhttp://arxiv.org/abs/math/9806086
dc.identifierCommun. Contemp. Math. 2 (2000), no. 4, 579--590
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131417
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject57M25, 05C10
dc.titleOn the Combinatorial Structure of Primitive Vassiliev Invariants, III - A Lower Bound
dc.typetext

Files

Collections

arXiv