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Erschienen in:
2017 | OriginalPaper | Buchkapitel
Stable Bundles (Commentary on [95])
verfasst von : Lisa Jeffrey
Erschienen in: Raoul Bott: Collected Papers
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Abstract
The article “Stable Bundles Revisited” is a review article describing the fundamental work of Atiyah and Bott in [1], where the authors prove formulas for the Poincaré polynomial of the moduli space M(n, d) of stable bundles of rank n and degree d over a Riemann surface. Atiyah and Bott are motivated by Morse theory of the normsquare of the moment map for the action of gauge group on the space of all connections on the surface (an infinite-dimensional vector space). Atiyah and Bott made the fundamental observation that the action of the gauge group on the space of all connections is Hamiltonian and the moment map is the curvature.