2 citations · 2 across the 2 of their papers we have counts for
5 papers
Functor calculus and the discriminant method
Rui M. G. Reis, Michael S. Weiss
The discriminant method is a tool for describing the cohomology, or the homotopy type, of certain spaces of smooth maps with uncomplicated singularities from a smooth compact manif…
Rational Pontryagin classes and functor calculus
Rui M. G. Reis, Michael S. Weiss
It is known that in the integral cohomology of BSO(2m), the square of the Euler class is the same as the Pontryagin class in degree 4m. Given that the Pontryagin classes extend rat…
Smooth maps to the plane and Pontryagin classes, Part I: Local aspects
Rui M. G. Reis, Michael S. Weiss
We classify the most common local forms of smooth maps from a smooth manifold L to the plane. The word "local" can refer to locations in the source L, but also to locations in the…
KO-Homology and Type I String Theory
Rui M. G. Reis, Richard J. Szabo, Alessandro Valentino
We study the classification of D-branes and Ramond-Ramond fields in Type I string theory by developing a geometric description of KO-homology. We define an analytic version of KO-h…
Geometric K-Homology of Flat D-Branes
Rui M. G. Reis, Richard J. Szabo
We use the Baum-Douglas construction of K-homology to explicitly describe various aspects of D-branes in Type II superstring theory in the absence of background supergravity form f…