4 papers · 1 filter
Permutation orbifolds and their applications
P. Bantay
The theory of permutation orbifolds is reviewed and applied to the study of symmetric product orbifolds and the congruence subgroup problem. The issue of discrete torsion, the comb…
On generalizations of Verlinde's formula
P. Bantay
It is shown that traces of mapping classes of finite order may be expressed by Verlinde-like formulae. The 3D topological argument is explained, and the resulting trace identities…
Symmetric products, permutation orbifolds and discrete torsion
P. Bantay
Symmetric product orbifolds, i.e. permutation orbifolds of the full symmetric group S_{n} are considered by applying the general techniques of permutation orbifolds. Generating fun…
Orbifoldization, covering surfaces and uniformization theory
Peter Bantay
The connection between the theory of permutation orbifolds, covering surfaces and uniformization is investigated, and the higher genus partition functions of an arbitrary permutati…