Differential operators on orbifolds

Equivariant Lefschetz Number of Differential Operators

Let G be a compact Lie group acting on a compact complex manifold M . We prove a trace density formula for the G-Lefschetz number of a differential operator on M . We generalize Engeli and Felder’s recent results to orbifolds.

Cyclic Coset Orbifolds

We apply the new orbifold duality transformations to discuss the special case of cyclic coset orbifolds in further detail. We focus in particular on the case of the interacting cyclic coset orbifolds, whose untwisted sectors are Zλ(permutation)-invariant g/h coset constructions which are not λ copies of coset constructions. Because λ copies are not involved, the action of Zλ(permutation) in the...

Weighted composition operators on measurable differential‎ ‎form spaces

In this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.

On the Spectral Properties of Degenerate Non-selfadjoint Elliptic systems of Differential Operators

Cocycle Properties of String Theories on Orbifolds ∗

We study cocycle properties of vertex operators and present an operator representation of cocycle operators, which are attached to vertex operators to ensure the duality of amplitudes. It is shown that this analysis makes it possible to obtain the general class of consistent string theories on orbifolds. ∗ To appear in the proceedings of YITP Workshop on “Recent Developments in String and Field...