@article{1450,
abstract = {In this paper we consider the topological side of a problem which is the analogue of Sen's S-duality testing conjecture for Hitchin's moduli space M of rank 2 stable Higgs bundles of fixed determinant of odd degree over a Riemann surface ∑. We prove that all intersection numbers in the compactly supported cohomology of M vanish, i.e. "there are no topological L2 harmonic forms on M". This result generalizes the well known vanishing of the Euler characteristic of the moduli space of rank 2 stable bundles N of fixed determinant of odd degree over ∑. Our proof shows that the vanishing of all intersection numbers of H* cpt(M) is given by relations analogous to the Mumford relations in the cohomology ring of N.},
author = {Tamas Hausel},
journal = {Advances in Theoretical and Mathematical Physics},
number = {5},
pages = {1011 -- 1040},
publisher = {International Press},
title = {{Vanishing of intersection numbers on the moduli space of Higgs bundles}},
doi = {10.4310/ATMP.1998.v2.n5.a3},
volume = {2},
year = {1998},
}