Betti numbers of Springer fibers in type A

Details Betti numbers of Springer fibers in type A Betti numbers of Springer fibers in type A

2007-06-25

arxiv.org/abs/0706.3656v2

J. Algebra 322 (2009) 2566-2579

Mathematics

Algebraic Geometry

17 pages

Scientific paper

We determine the Betti numbers of the Springer fibers in type A. To do this,
we construct a cell decomposition of the Springer fibers. The codimension of
the cells is given by an analogue of the Coxeter length. This makes our cell
decomposition well suited for the calculation of Betti numbers.

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