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Weil-Petersson geometry on the space of Bridgeland stability conditions

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 نشر من قبل Yu-Wei Fan
 تاريخ النشر 2017
  مجال البحث
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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 Kahler 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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