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Obstruction Theory for Bigraded Differential Algebras (2504.06590v2)
Published 9 Apr 2025 in math.AT, math.AC, and math.DG
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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