Configuration Spaces of a Kinematic System and Monster Tower of Special Multi-Flags
arXiv:1109.4788
Abstract
In this note we show that the configuration spaces of the kinematic system constructed in [4] and [12] gives rise to a natural tower of sphere bundles. Moreover, we prove that, each tower of projective bundles associated to special multi- flags (cf [1], [13], [2], [3]), we can associate such a tower of sphere bundles which is a two-fold covering of the previous one. In particular we give a positive answer of some conjecture proposed in [3]
The author want to withdraw this paper because it corresponds to the section 3 of paper 1205.2992 and so 1109.4788 is contained in 1205.2992