Edward Witten

# Contents

## Fields medal work

In

• Michael Atiyah, On the work of Edward Witten, Proceedings of the International Congress of Mathematics, Kyoto 1990 (pdf)

the following “influential papers” are listed as relevant for Edward Witten receiving the Fields Medal in 1990.

First of all

• Supersymmetry and Morse theory, J. Differential Geom. Volume 17, Number 4 (1982), 661-692. (Euclid)

This discusses deformations of supersymmetric quantum mechanics on a Riemannian manifold and how its supersymmetric ground states are related to the Morse theory of a deformation function. The way this supersymmetric quantum mechanics appears as the point-particle limit of the type II superstring is explained at the end of

• Global anomalies in string theory, in W. Bardeen and A. White (eds.) Symposium on Anomalies, Geometry, Topology, pp. 61–99. World Scientific, 1985

which otherwise is on quantum anomalies in string theory, such as the Green-Schwarz anomaly, etc.

Finally Atiyah’s section 2 mentions

• (with Cumrun Vafa), Eigenvalue inequalities for Fermions in gauge theories, Comm. Math. Phys. 95 (1984) 257 (Euclid)

Then

• Elliptic genera and quantum field theory, Comm. Math. Phys. 109 (1987)

And various articles on the foundations of topological field theory such as

and

(…)

clearly, this list is supposed to be expanded, eventually

category: people

Revised on January 22, 2014 02:08:37 by Urs Schreiber (89.204.137.52)