Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces

Chunyi Li; Xiaolei Zhao

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arXiv · 1612.02729

Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces

Chunyi Li·Xiaolei Zhao

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Abstract

Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical divisor is effective. We show that moduli spaces of certain Bridgeland stable objects on X are smooth. Moreover, we construct Poisson structures on these moduli spaces.

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Chunyi Li, Xiaolei Zhao. 2016-12-08. Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces. https://arxiv.org/abs/1612.02729

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