Configuration Spaces of a Kinematic System and Monster Tower of Special Multi-Flags

Details Configuration Spaces of a Kinematic System and Monster Tower of Special Multi-Flags Configuration Spaces of a Kinematic System and Monster Tower of Special Multi-Flags

2011-09-22

arxiv.org/abs/1109.4788v3

Mathematics

Differential Geometry

Scientific paper

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]

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