Aarhus University Seal / Aarhus Universitets segl

On the asymptotic expansion of the curvature of perturbations of the L2 connection

Amit De
PhD defence
Friday, 31 May, 2013, at 13:15-15:15, in Aud. D2 (1531-119)
Abstract:

We establish that the Hitchin connection is a perturbation of the $L^2$ connection. We notice that such a formulation of the Hitchin connection does not necessarily require the manifold in question possessing a rigid family of Kähler structures. We then proceed to calculate the asymptotic expansion of general perturbations of the $L^2$-connection, and see when under certain assumptions such perturbations are at and projectively at. During the calculations we also found an asymptotic expansion of the projection operator $\pi_\sigma^{(k)}$ which projects onto the holomorphic sections of the $k$-th tensor of prequantum line bundle.

Assesment committee:

  • Martin Schlichenmaier (Uni. Luxembourg)
  • Steen Markvorsen (DTU)
  • Henning Haahr Andersen (AU), Chair
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen