12 citations · 61 across the 28 of their papers we have counts for
36 papers
A parabolic analog of a theorem of Beilinson and Schechtman
Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth
For a simple, simply connected, complex group G, we prove an explicit formula to compute the Atiyah class of parabolic determinant of cohomology line bundle on the moduli space of…
The Algebraic and Analytic Compactifications of the Hitchin Moduli Space
Siqi He, Rafe Mazzeo, Xuesen Na +1
Following the work of Mazzeo-Swoboda-Weiss-Witt and Mochizuki, there is a map between the algebraic compactification of the Dolbeault moduli space of $\mathsf{SL}(2,\m…
A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces
Richard A. Wentworth
This paper presents a Meyer-Vietoris type gluing formula for a conformal invariant of a Riemannian surface with boundary that is defined by the determinant of the Dirichlet-to-Neum…
Geometrization of the TUY/WZW/KZ connection
Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth
Given a simple, simply connected, complex algebraic group G, a flat projective connection on the bundle of nonabelian theta functions on the moduli space of semistable parabolic G-…
Complex Chern--Simons bundles in the relative setting
Dennis Eriksson, Gerard Freixas i Montplet, Richard A. Wentworth
Complex Chern-Simons bundles are line bundles with connection, originating in the study of quantization of moduli spaces of flat connections with complex gauge groups. In this pape…
A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families
Xuemiao Chen, Richard A. Wentworth
In this paper, we first prove a Donaldson-Uhlenbeck-Yau theorem over projective normal varieties smooth in codimension two. As a consequence we deduce the polystability of (dual) t…