arXiv subjects

Niccolo Skovgård Poulsen

Publications and source records attributed to Niccolo Skovgård Poulsen.

3 recordsLinked to original sources

arXiv2016

An explicit Ricci potential for the Universal Moduli Space of Vector Bundles

In this paper we modify the coordinate construction in our previous paper on the universal moduli space of pair consisting of a Riemann Surfaces and a stable holomorphic bundles on the Riemann Surface, so as to produce a new set of coordinates, which are in fact K\" ahler coordinates on this universal moduli space. Further, we give a functional determinant formula for the Ricci potential of the universal moduli space.

math.DG↗

arXiv2016

The Curvature of the Hitchin Connection

In this paper we calculate the curvature of the Hitchin connection. We further show that a slight (possibly trivial) modification of the Hitchin connection has curvature equal to an explict given multiple of the Weil-Petersen symplectic form on Teichmüller space.

math.DG↗

arXiv2016

Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles

In this paper we provide two ways of constructing complex coordinates on the moduli space of pairs of a Riemann surface and a stable holomorphic vector bundle centred around any such pair. We compute the transformation between the coordinates to second order at the center of the coordinates. We conclude that they agree to second order, but not to third order at the center.

math.DG↗