T. Baird

collaborators

2 papers

math.AG2025

Betti numbers of the moduli space of Higgs bundles over a real curve

Thomas John Baird

We produce a formula for the $Z_{2}$ -Betti numbers of the moduli space $M_{r}^{d}$ of stable real Higgs bundles over a real projective curve, with coprime rank $r$ and degree $d…

math.AG2024

Cohomology of fixed point sets of anti-symplectic involutions in the Hilbert scheme of points on a surface

Thomas John Baird

Let $S$ be a smooth, quasi-projective complex surface with complex symplectic form $ω \in H^{0} (S, K_{S})$ . This determines a symplectic form $ω_{n}$ on the Hilbert scheme of points $S^{[…