Hitchin's equations on a nonorientable manifold

GAP Seminar

Meeting Details

For more information about this meeting, contact Hsuan-Yi Liao.

Speaker: Nan-Kuo Ho, National Tsing Hua University

Abstract: We define and study Hitchin's moduli space over a compact non-orientable Riemannian manifold. We proved that this moduli space has a natural K\"{a}hler structure and we give a condition for points being smooth in the moduli space. In particular, when the nonorientable manifold is two dimensional, we show that irreducibility is not enough to promise smoothness.

Room Reservation Information

Room Number: 113 McAllister

Date: 07/25/2017

Time: 11:00am - 12:00pm