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arXiv · 1708.02161

Weil-Petersson geometry on the space of Bridgeland stability conditions

Yu-Wei Fan·Atsushi Kanazawa·Shing-Tung Yau
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Abstract

Inspired by mirror symmetry, we investigate some differential geometric aspects of the space of Bridgeland stability conditions on a Calabi-Yau triangulated category. The aim is to develop theory of Weil-Petersson geometry on the stringy K\"ahler moduli space. A few basic examples are studied. 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.

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Yu-Wei Fan, Atsushi Kanazawa, Shing-Tung Yau. 2017-08-07. Weil-Petersson geometry on the space of Bridgeland stability conditions. https://arxiv.org/abs/1708.02161

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