The Langlands lemma and the Betti numbers of stacks of $G$--bundles on a curve

Details The Langlands lemma and the Betti numbers of stacks of $G$--bundles on a curve The Langlands lemma and the Betti numbers of stacks of $G$--bundles on a curve

1995-03-14

arxiv.org/abs/alg-geom/9503006v1

Mathematics

Algebraic Geometry

17 pages, PlainTeX

Scientific paper

In this note we show that the Langlands lemma from the theory of Eisenstein
series can be used to invert the recursion relation for the Poincar\'e series
of the open substack of semi-stable $G$-bundles which was established by
Atiyah/Bott and Harder/Narasimhan.

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