Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement

Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra

We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X. We study invariants of X that can be deduced from this resolution. A key ingredient is a result of Aramova, Avramov, and Herzog (2000) on resolutions of monomial ideals in the exterior algebra. We give a ne...

Intersection cohomology of the symmetric reciprocal plane

We compute the Kazhdan-Lusztig polynomial of the uniform matroid of rank n − 1 on n elements by proving that the coefficient of t is equal to the number of ways to choose i non-intersecting chords in an (n − i + 1)-gon. We also show that the corresponding intersection cohomology group is isomorphic to the irreducible representation of Sn associated to the partition [n− 2i, 2, . . . , 2].

Geometric Quantization and Equivariant Cohomology Geometric Quantization and Equivariant Cohomology

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Equivariant cohomology and equivariant intersection theory

This text is an introduction to equivariant cohomology, a classical tool for topological transformation groups, and to equivariant intersection theory, a much more recent topic initiated by D. Edidin and W. Graham. It is based on lectures given at Montréal is Summer 1997. Our main aim is to obtain explicit descriptions of cohomology or Chow rings of certain manifolds with group actions which ar...