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arXiv · 1505.02331

The Atiyah-Bott formula for the cohomology of the moduli space of bundles on a curve

Dennis Gaitsgory
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Abstract

This paper is a companion of the paper "Weil's conjecture for function fields" by J. Lurie and the author. We present a different exposition of essentially the same algebro-geometric proof of the Atiyah-Bott for the cohomology of Bun(G), which subsequently leads to the proof of the Tamagawa number formula for the volume of the automorphic space for function fields.

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Dennis Gaitsgory. 2015-05-10. The Atiyah-Bott formula for the cohomology of the moduli space of bundles on a curve. https://arxiv.org/abs/1505.02331

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