STABLE SPLITTINGS OF STIEFEL MANIFOLDS

@inproceedings{Miller2001STABLESO,
  title={STABLE SPLITTINGS OF STIEFEL MANIFOLDS},
  author={Haynes R. Miller},
  year={2001}
}
LET F be one of the skewfields R, Q), or W, and consider the Stiefel manifold V,,, of orthonormal q-frames in F”. We regard this as the space of Hermitian inner-product preserving right F-linear maps from F4 to F”. Pick a point &, E V,,Q, and define a filtration of V”,4 by closed subsets F,‘ v,,, = (4: dimFker($+&,) 2 q-k}. Thus Fe V,_ = { C#Q, ), F, V”/.,* is the usual “generating complex,” and Fq Vm,q = F&. In this paper we will show that the strata Fk Fk1 of this filtration are vector… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-2 OF 2 REFERENCES

The Topology ojStiefel Mangolds, Len

  • 1. M. JAMES
  • Math. Sot. Lecture Notes Series 24
  • 1976
1 Excerpt

I Symposium in Honor of‘ Marston Morse, S

  • T. FRANKELI Critical submanifolds of the classical groups, Stiefel manifolds. Diflerential, Combinatorial Topology
  • S. Cairns, ed., Princeton Univ. Press
  • 1965

Similar Papers

Loading similar papers…