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Mat. Zametki, 2023 Volume 114, Issue 6, Pages 1217–1224 (Mi mzm14278)

Higher Differentials of the Bicomplex Corresponding to the Double Cohomology of the Moment Angle Complex

Yang Han

Tianjin University, Tianjin, 300072, China

Abstract: Amelotte and Briggs [arXiv:2304.08476] constructed a family of cohomology operations induced by a torus action. We use these cohomology operations to describe higher differentials of the bicomplex corresponding to the double cohomology of the moment angle complex, as expected by Limonchenko et al. [arXiv:2112.07004]. The present paper can also be viewed as a continuation of the author's paper in [Topology Appl. 326, 1–7 (2023)].

Keywords: cohomology operation, moment angle complex.

Received: 06.03.2023
Revised: 14.12.2023

Language: English


 English version:
Mathematical Notes, 2023, 114:6, 1217–1224

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© Steklov Math. Inst. of RAS, 2024