Journal ArticleDOI
Topology of the Space of Absolute Minima of the Energy Functional
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This article is published in American Journal of Mathematics.The article was published on 1984-02-01. It has received 33 citations till now. The article focuses on the topics: Topology (chemistry) & Energy functional.read more
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Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
TL;DR: In this paper, a review of recent developments in two-dimensional YangMills theory and the construction of topological field theory Lagrangians is discussed from the point of view of infinite-dimensional differential geometry, emphasizing the unifying role of equivariant cohomology both as the underlying principle in the formulation of BRST transformation laws and as a central concept in the geometrical interpretation of path integrals.
Book ChapterDOI
Floer's infinite dimensional Morse theory and homotopy theory
TL;DR: In this article, a progress report on our efforts to understand the homotopy theory underlying Floer homology is presented. But the progress is limited to the analysis of an infinite dimensional manifold.
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On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles
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The topology of rational functions and divisors of surfaces
TL;DR: In this article, the homotopy types of the spaces of holomorphic functions of the 2-sphere S 2, of closed surfaces of higher genus, and of divisors of these surfaces were studied.
References
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Book
Differential Geometry, Lie Groups, and Symmetric Spaces
TL;DR: In this article, the structure of semisimplepleasure Lie groups and Lie algebras is studied. But the classification of simple Lie algesbras and of symmetric spaces is left open.
Journal ArticleDOI
Characteristic classes and homogeneous spaces, i.*
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The Stable Homotopy of the Classical Groups
TL;DR: In this paper, the authors define the set of geodesics of minimal length which join P to Q and are contained in a homotopy class h of curves, referred to as base points on M. The first positive integer which occurs as the index of some geodesic from P to q in the class h is defined.