A construction of new Bridgeland stability conditions 
-- Yucheng Liu, April 5, 2019

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Motivated by Michael Douglas's work, Bridgeland constructed a general theory of stability conditions on triangulated categories. The most important question about this theory is the existence of his stability conditions. In this talk, I will construct a map from space of rational stability conditions on D(X) to the space of rational stability conditions on D(X×C), where C is an integral smooth curve. The construction also works for Kuznetsov component.