An incompatibility between spectrification and the Szabó spectral sequence

An incompatibility between spectrification and the Szabó spectral sequence

The Lipshitz-Sarkar Steenrod operations on (even) Khovanov homology are incompatible with Szabó's geometric spectral sequence. Obstructions to integral lifting and spectrification are observed.

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Veröffentlicht in:Topology and its applications 2023-02, Vol.324, p.108336, Article 108336
Hauptverfasser: Cooper, Benjamin, Paul, Pravakar, Seguin, Nicholas
Format: Artikel
Sprache:eng
Schlagworte:
Floer homotopy theory
Khovanov homology
Knot theory
Stable homotopy theory
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Beschreibung
Zusammenfassung:The Lipshitz-Sarkar Steenrod operations on (even) Khovanov homology are incompatible with Szabó's geometric spectral sequence. Obstructions to integral lifting and spectrification are observed.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2022.108336