Weil-Petersson geometry on the space of Bridgeland stability conditions

Yu Wei Fan, Atsushi Kanazawa, Shing Tung Yau

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)681-706
Number of pages26
JournalCommunications in Analysis and Geometry
Volume29
Issue number3
DOIs
Publication statusPublished - 2021

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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