A short proof of the deformation property of Bridgeland stability conditions

Arend Bayer

doi:10.1007/s00208-019-01900-w

A short proof of the deformation property of Bridgeland stability conditions

Arend Bayer

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The key result in the theory of Bridgeland stability conditions is the property that
they form a complex manifold. This comes from the fact that given any small deformation of the central charge, there is a unique way to correspondingly deform the stability condition. We give a short direct proof of an effective version of this deformation property.

Original language	English
Pages (from-to)	1597–1613
Number of pages	17
Journal	Mathematische annalen
Volume	375
Early online date	10 Sept 2019
DOIs	https://doi.org/10.1007/s00208-019-01900-w
Publication status	Published - 31 Dec 2019

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https://link.springer.com/article/10.1007/s00208-019-01900-w

Cite this

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AB - The key result in the theory of Bridgeland stability conditions is the property that they form a complex manifold. This comes from the fact that given any small deformation of the central charge, there is a unique way to correspondingly deform the stability condition. We give a short direct proof of an effective version of this deformation property.

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JO - Mathematische annalen

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A short proof of the deformation property of Bridgeland stability conditions

Abstract

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