The Atiyah-Bott formula for the cohomology of the moduli space of bundles on a curve
arXiv:1505.02331
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.
References in corpus (1)
Cited by in corpus (8)
- Parameters and duality for the metaplectic geometric Langlands theory
- Metaplectic Whittaker category and quantum groups : the "small" FLE
- On the automorphic sheaves for GSp_4
- The Atiyah-Bott formula and connectivity in chiral Koszul duality
- Extensions by and factorization line bundles
- Connections on moduli spaces and infinitesimal Hecke modifications
- An Extension of the Kazhdan-Lusztig Equivalence
- Cosheaf Theory and Overconvergent Verdier Duality for Rigid Analytic Spaces