An orbifold relative index theorem

A Relative Riemann-hurwitz Theorem, the Hurwitz-hodge Bundle, and Orbifold Gromov-witten Theory

We provide a formula describing the G-module structure of the Hurwitz-Hodge bundle for admissible G-covers in terms of the Hodge bundle of the base curve, and more generally, for describing the G-module structure of the push-forward to the base of any sheaf on a family of admissible Gcovers. This formula can be interpreted as a representation-ring-valued relative Riemann-Hurwitz formula for fam...

Index for Orbifold Quiver Gauge Theories

We compute the index for orbifold quiver gauge theories. We compare it with the results obtained from the type IIB supergravity (superstring) on AdS5 × S 5/Γ. E-mail: [email protected]

An Algebraic Index Theorem for Orbifolds

Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a formal deformation quantization of a symplectic orbifold. An algebraic index theorem for orbifolds follows as a consequence of a local Riemann–Roch theorem for such densities. In the case of a reduced orbifold, this proves a conjecture by Fedosov, Schulze, and Tarkhanov. Finally, it is shown how the K...

An Inter-temporal Relative Deprivation Index

An algebraic index theorem for Poisson manifolds

The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We propose a version of the algebraic index theorem for a Poisson manifold which is based on this trace density map. 1991 MSC: 19K56, 16E40.