Weil-Petersson geometry on the space of Bridgeland stability conditions

Autor:	Fan, Yu-Wei, Kanazawa, Atsushi, Yau, Shing-Tung
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry High Energy Physics - Theory Mathematics - Differential Geometry 53D37 14J33 14J32 18E30
Druh dokumentu:	Working Paper
Popis:	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. Comment: v3. 19 pages. Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.02161 Zobrazit plný text záznamu View this record from Arxiv