no code implementations • 13 Apr 2020 • Andreas Ott, Jan Swoboda, Richard Wentworth, Michael Wolf
This paper unites the gauge-theoretic and hyperbolic-geometric perspectives on the asymptotic geometry of the character variety of SL(2, C) representations of a surface group.
Differential Geometry Primary 32G15, 53C07, 53C43, Secondary 57K32
no code implementations • 5 Mar 2021 • Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth
For a simple, simply connected, complex group G, we prove the existence of a flat projective connection on the bundle of nonabelian theta functions on the moduli space of semistable parabolic G-bundles over families of smooth projective curves with marked points.
Algebraic Geometry High Energy Physics - Theory Differential Geometry Representation Theory Primary: 14H60, 32G34, 53D50, Secondary: 81T40, 14F08