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A Guide for Computing Stable Homotopy Groups

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arxiv 1801.07530 v2 pith:FY7QVEUD submitted 2018-01-23 math.AT

classification math.AT
keywords homotopystableguideadamsalgebrabackgroundcategorycomputations
verification ladder T0 review T1 audit T2 compute T3 formal

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This paper contains an overview of background from stable homotopy theory used by Freed--Hopkins in their work on invertible extended topological field theories. We provide a working guide to the stable homotopy category, to the Steenrod algebra and to computations using the Adams spectral sequence. Many examples are worked out in detail to illustrate the techniques.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism

    hep-th 2026-08 conditional novelty 7.0 of 10

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  2. Bosonic SPT and invertible phases and its relation to Steenrod's problem

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  3. Global anomalies in $6D$ gauged supergravities

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    New anomaly-free six-dimensional R-symmetry gauged supergravities are presented, and global anomaly freedom is shown to impose the constraints n_V ≡ 8 mod 12 (U(1)_R) and n_V = 60 (Sp(1)_R).

  4. Cobordism Utopia: U-Dualities, Bordisms, and the Swampland

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