36 citations · 71 across the 6 of their papers we have counts for
6 papers
Beyond the String Genus
Orlando Alvarez, I. M. Singer
In an earlier work we used a path integral analysis to propose a higher genus generalization of the elliptic genus. We found a cobordism invariant parametrized by Teichmuller space…
Equivariant and fractional index of projective elliptic operators
V. Mathai, R. B. Melrose, I. M. Singer
In this note the fractional analytic index, for a projective elliptic operator associated to an Azumaya bundle, of DG/0402329 is related to the equivariant index of Atiyah and Sing…
Fractional analytic index
V. Mathai, R. B. Melrose, I. M. Singer
For a finite rank projective bundle over a compact manifold, so associated to a torsion, Dixmier-Douady, 3-class, w, on the manifold, we define the ring of differential operators `…
Twisted K-homology theory, twisted Ext-theory
V. Mathai, I. M. Singer
These are notes on twisted K-homology theory and twisted Ext-theory from the C*-algebra viewpoint, part of a series of talks on ``C*-algebras, noncommutative geometry and K-theory'…
Chern--Simons Perturbation Theory II
Scott Axelrod, I. M. Singer
In a previous paper [\AS], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern--Simons quantum field theory o…
Chern-Simons Perturbation Theory
Scott Axelrod, I. M. Singer
We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change o…