58 citations · 125 across the 13 of their papers we have counts for
4 papers · 1 filter
Spectral and Hodge theory of `Witt' incomplete cusp edge spaces
Jesse Gell-Redman, Jan Swoboda
Incomplete cusp edges model the behavior of the Weil-Petersson metric on the compactified Riemann moduli space near the interior of a divisor. Assuming such a space is Witt, we con…
Moduli spaces of Higgs bundles on degenerating Riemann surfaces
Jan Swoboda
We prove a gluing theorem for solutions of Hitchin's self-duality equations with logarithmic singularities on a rank-2 vector bundle over a noded Riemann surface representing a bou…
Asymptotics of the Weil-Petersson metric
Rafe Mazzeo, Jan Swoboda
We consider the Riemann moduli space of conformal structures on a compact surface of genus together with its Weil-Petersson metric . Our main…
Limiting configurations for solutions of Hitchin's equation
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We review recent work on the compactification of the moduli space of Hitchin's self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set…