The String bordism of BE₈ and BE₈× BE₈ through dimension 14

2008/07/14 by Michael A. Hill, Hill, Michael A.
Mathematics · Physics and Astronomy · #55N22 #55N34 #57R90 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AT #math.MP #msc:55N22 #msc:55N34 #msc:57R90

paper · pdf · doi:10.48550/arxiv.0807.2095

16 pages, 7 figures

arxiv created 2008/07/14 · openalex publication_date 2008/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the low dimensional String bordism groups of BE₈ and BE₈× BE₈ using a combination of Adams spectral sequences together with comparisons to the Spin bordism cases.

Related

• Computations of Spin-Sp(4), Spin-SU(8), and Spin-Spin(16) bordism groups in dimensions up to 7
• Global anomalies & bordism of non-supersymmetric strings
• The Chronicles of IIBordia: Dualities, Bordisms, and the Swampland
• PL cobordism and classification of PL manifolds
• Secondary Invariants for String Bordism and tmf