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arXiv · 2504.06590

Obstruction Theory for Bigraded Differential Algebras

Jiahao Hu
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Abstract

We develop an obstruction theory for Hirsch extensions of cbba's with twisted coefficients. This leads to a variety of applications, including a structural theorem for minimal cbba's, a construction of relative minimal models with twisted coefficients, as well as a proof of uniqueness. These results are further employed to study automorphism groups of minimal cbba's and to characterize formality in terms of grading automorphisms.

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Jiahao Hu. 2025-04-09. Obstruction Theory for Bigraded Differential Algebras. https://arxiv.org/abs/2504.06590

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