11 citations · 29 across the 8 of their papers we have counts for
9 papers
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…
Arithmetic and metric aspects of open de Rham spaces
Tamás Hausel, Michael Lennox Wong, Dimitri Wyss
In this paper we determine the motivic class--in particular, the weight polynomial and conjecturally the Poincaré polynomial--of the open de Rham space, defined and studied by Boal…
Canonical complex extensions of Kähler manifolds
Daniel Greb, Michael Lennox Wong
Given a complex manifold , any Kähler class defines an affine bundle over , and any Kähler form in the given class defines a totally real embedding of into this affine bu…
The universal connection for principal bundles over homogeneous spaces and twistor space of coadjoint orbits
Indranil Biswas, Michael Lennox Wong
Given a holomorphic principal bundle , the universal space of holomorphic connections is a torsor for such that the pul…
Arithmetic and representation theory of wild character varieties
Tamas Hausel, Martin Mereb, Michael Lennox Wong
We count points over a finite field on wild character varieties of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas…
Root stacks, principal bundles and connections
Indranil Biswas, Souradeep Majumder, Michael Lennox Wong
We investigate principal bundles over a root stack. In case of dimension one, we generalize the criterion of Weil and Atiyah for a principal bundle to have an algebraic connection.
An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation
Michael Lennox Wong
This paper deals with moduli spaces of framed principal bundles with connections with irregular singularities over a compact Riemann surface. These spaces have been constructed by…
Orthogonal and Symplectic Parabolic Bundles
Indranil Biswas, Souradeep Majumder, Michael Lennox Wong
We investigate orthogonal and symplectic bundles with parabolic structure, over a curve.
Hecke Modifications, Wonderful Compactifications and Moduli of Principal Bundles
Michael Lennox Wong
In this paper, we obtain parametrizations of the moduli space of principal bundles over a compact Riemann surface using spaces of Hecke modifications in several cases. We begin wit…