Equivariant Chern classes of singular algebraic varieties with group actions Page 1 Math.
Proc. Camb. Phil. Soc. (2006), 140, 115 c© 2006 Cambridge Philosophical Society doi:10.1017/S0305004105008820 …

Let A (ℓ, n, k) denote the number of ℓ-tuples of commuting permutations of n elements whose
permutation action results in exactly k orbits or connected components. We provide a new …

We introduce the notion of generalized orbifold Euler characteristic associated to an
arbitrary group, and study its properties. We then calculate generating functions of higher …

In this paper, for a possibly singular complex variety X, generating functions of total orbifold
Chern homology classes of the symmetric products SnX are given. These are very natural …

Denote by N ℓ (n) the number of ℓ-tuples of elements in the symmetric group S n with
commuting components, normalized by the order of S n. In this paper, we prove asymptotic …

Let $ A (p, n, k) $ be the number of $ p $-tuples of commuting permutations of $ n $ elements
whose permutation action results in exactly $ k $ orbits or connected components. We …

We introduce the Γ–Euler–Satake characteristics of a general orbifold Q presented by an
orbifold groupoid G, extending to orbifolds that are not global quotients the generalized …

We define a Grothendieck ring of varieties with actions of finite groups and show that the
orbifold Euler characteristic and the Euler characteristics of higher orders can be defined as …

Evidences have suggested that counting representations are sometimes tractable even
when the corresponding classification problem is almost impossible, or" wild" in a precise …

Let G be a finite group and let M be a G–manifold. We introduce the concept of generalized
orbifold invariants of M∕ G associated to an arbitrary group Γ, an arbitrary Γ–set, and an …