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A calculus for flow categories

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Publication:2089645
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DOI10.1016/j.aim.2022.108665OpenAlexW2761269832MaRDI QIDQ2089645

Patrick Orson, Andrew Lobb, Dirk Schuetz

Publication date: 24 October 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01798


zbMATH Keywords

Morse theoryFloer theoryflow categoryFloer homotopy


Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)




Cites Work

  • Framed cobordism and flow category moves
  • The homotopy classification of \((n-1)\)-connected \((n+3)\)-dimensional polyhedra, \(n\geq{} 4\)
  • A categorification of the Jones polynomial
  • On the classification of \(O(n)\)-manifolds
  • Groupes d'homotopie et classes de groupes abéliens
  • A Steenrod square on Khovanov homology
  • A Khovanov stable homotopy type
  • Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners
  • On cobordism of manifolds with corners
  • Morse moves in flow categories
  • Finding a Boundary for an Open Manifold
  • Homotopy invariants and continuous mappings
  • Khovanov Homotopy Calculations using Flow Category Calculus
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