Computations of Spin-Sp(4), Spin-SU(8), and Spin-Spin(16) bordism groups in dimensions up to 7

2025/04/21 by Kuroda, Naoki
#57R90 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.15014

Abstract

We investigate the structure of Spin-G bordism groups, focusing on the interplay between Spin and additional twisting symmetries such as Sp(4), SU(8) and Spin(16). Using techniques from spectral sequences, obstruction theory, and cohomology operations, we compute explicit generators for the Spin-G bordism groups in dimensions up to 7.

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