Computations of Spin-Sp(4), Spin-SU(8), and Spin-Spin(16) bordism groups in dimensions up to 7
Algebraic Topology
2025-04-22 v1
Abstract
We investigate the structure of Spin- bordism groups, focusing on the interplay between Spin and additional twisting symmetries such as , and . Using techniques from spectral sequences, obstruction theory, and cohomology operations, we compute explicit generators for the Spin- bordism groups in dimensions up to 7.
Keywords
Cite
@article{arxiv.2504.15014,
title = {Computations of Spin-Sp(4), Spin-SU(8), and Spin-Spin(16) bordism groups in dimensions up to 7},
author = {Naoki Kuroda},
journal= {arXiv preprint arXiv:2504.15014},
year = {2025}
}
Comments
18 pages, 3 figures, 7 tables