121 citations · 274 across the 6 of their papers we have counts for
6 papers
The index of projective families of elliptic operators: the decomposable case
V. Mathai, R. B. Melrose, I. M. Singer
An index theory for projective families of elliptic pseudodifferential operators is developed when the twisting, i.e. Dixmier-Douady, class is decomposable. One of the features of…
Quadratic functions in geometry, topology,and M-theory
M. J. Hopkins, I. M. Singer
We describe an interpretation of the Kervaire invariant of a Riemannian manifold of dimension in terms of a holomorphic line bundle on the abelian variety $H^{2k+1}(M)\otime…
The index of projective families of elliptic operators
Varghese Mathai, Richard B Melrose, Isadore M Singer
An index theory for projective families of elliptic pseudodifferential operators is developed. The topological and the analytic index of such a family both take values in twisted K…
Beyond the Elliptic Genus
Orlando Alvarez, I. M. Singer
Given a Riemann surface and a riemannian manifold M with certain restrictions, we construct a cobordism invariant of M. This invariant is a generalization of the elliptic genus and…
Cohomological Yang-Mills Theory in Eight Dimensions
L. Baulieu, H. Kanno, I. M. Singer
We construct nearly topological Yang-Mills theories on eight dimensional manifolds with a special holonomy group. These manifolds are the Joyce manifold with holonomy and…
Special Quantum Field Theories In Eight And Other Dimensions
L. Baulieu, H. Kanno, I. M. Singer
We build nearly topological quantum field theories in various dimensions. We give special attention to the case of 8 dimensions for which we first consider theories depending only…