On the relation between Cobordism cohomology and D-brane charge quantization in K-theory in view of the “swampland conjectures”:
Ralph Blumenhagen, Niccolò Cribiori, Open-Closed Correspondence of K-theory and Cobordism, J. High Energ. Phys. 2022 37 (2022) [arXiv:2112.07678, doi:10.1007/JHEP08(2022)037]
Ralph Blumenhagen, Niccolò Cribiori, Christian Kneissl, Andriana Makridou, Dimensional Reduction of Cobordism and K-theory, Journal of High Energy Physics 2023, 181, [doi:10.1007/JHEP03(2023)181, arXiv:2208.01656]
Further on the cobordism swampland conjecture:
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