47 citations · 100 across the 15 of their papers we have counts for
19 papers
Abelian instantons over the Chen-Teo AF geometry
Thomas John Baird, Hari K. Kunduri
We classify finite energy harmonic 2-forms on the asymptotically flat gravitational instanton constructed by Chen and Teo. We prove that every -bundle admits a unique anti-se…
Generalized Maslov indices for non-Hamiltonian systems
Thomas John Baird, Paul Cornwell, Graham Cox +2
We extend the definition of the Maslov index to a broad class of non-Hamiltonian dynamical systems. To do this, we introduce a family of topological spaces--which we call Maslov-Ar…
E-polynomials of character varieties for real curves
Thomas John Baird, Michael Lennox Wong
We calculate the E-polynomial for a class of the (complex) character varieties associated to a genus Riemann surface equipped with an orientation reversin…
The moduli space of real vector bundles of rank two over a real hyperelliptic curve
Thomas John Baird, Shengda Hu
The Desale-Ramanan Theorem is an isomorphism between the moduli space of rank two vector bundles over complex hyperelliptic curve and the variety of linear subspaces in an intersec…
Cohomology of Quotients in Real Symplectic Geometry
Thomas John Baird, Nasser Heydari
Given a Hamiltonian system where is a symplectic manifold, is a compact connected Lie group acting on with moment map $ μ:M \rightarrow\mathfrak{…
Cohomology of GKM-sheaves
Ibrahem Al-Jabea, Thomas John Baird
Let be a compact torus and be a a finite -CW complex (e.g. a compact -manifold). In earlier work, the second author introduced a functor which assigns to a so cal…