Communications in Analysis and Geometry
Volume 29 (2021)
Weil–Petersson geometry on the space of Bridgeland stability conditions
Pages: 681 – 706
We investigate some differential geometric aspects of the space of Bridgeland stability conditions on a Calabi–Yau triangulated category The aim is to give a provisional definition of Weil–Petersson geometry on the stringy Kähler moduli space. We study in detail a few basic examples to support our proposal. In particular, we identify our Weil–Petersson metric with the Bergman metric on a Siegel modular variety in the case of the self-product of an elliptic curve.
Received 21 December 2017
Accepted 4 December 2018
Published 10 May 2021