# PhD Defence: Amit De (2013)

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

2013.05.14 | Jane Jamshidi

 Date Fri 31 May Time 13:15 — 15:15 Location Aud. D2 (1531-119)

Abstract:

We establish that the Hitchin connection is a perturbation of the L2 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 L2-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

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