The intersection form on moduli spaces of twisted PGL_n-Higgs bundles vanishes
Heinloth, Jochen;
The intersection form on moduli spaces of twisted PGL_n-Higgs bundles vanishes
Hausel and Rodriguez-Villegas conjectured that the intersection form on the moduli space of stable PGL_n-Higgs bundles on a curve vanishes if the degree is coprime to n. In this note we prove this conjecture. Along the way we show that moduli spaces of stable chains are irreducible for stability parameters larger than the stability condition induced form stability of Higgs bundles.
21 pages
- University of Duisburg-Essen Germany
Mathematics - Algebraic Geometry, Mathematik, FOS: Mathematics, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, Mathematik, FOS: Mathematics, Algebraic Geometry (math.AG)
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