Topology of eigenspace posets for unitary reflection groups
The eigenspace theory of unitary reflection groups, initiated by Springer and Lehrer, suggests that the following object is worthy of study: the poset of eigenspaces of elements of a unitary reflection group, for a fixed eigenvalue, ordered by the reverse of inclusion. We investigate topological properties of this poset. The new results extend the well-known work of Orlik and Solomon on the lattice of intersections of hyperplanes.Keywords: Poset topology, unitary reflection groups, Cohen-Macaulay, subspace arrangement.
AMS Subject Classification: Primary 20F55; secondary 05E45.
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