Discrete morse theory and the cohomology ring

DOI10.1090/S0002-9947-02-03041-6zbMath1023.57017MaRDI QIDQ3151268

Robin Forman

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Morse theorycell complexescohomological operations

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Operations and obstructions in algebraic topology (55S99) PL-topology (57Q99)

Related Items (7)

Merge trees in discrete Morse theory ⋮ On the homology of the real complement of the \(k\)-parabolic subspace arrangement ⋮ Critical sets in discrete Morse theories: relating Forman and piecewise-linear approaches ⋮ The poset of bipartitions ⋮ Creating semiflows on simplicial complexes from combinatorial vector fields ⋮ Persistent homology for hypergraphs and computational tools — A survey for users ⋮ Cohomology ring of tree braid groups and exterior face rings

Cites Work

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• Discrete Morse theory and extended \(L^2\) homology
• Combinatorial vector fields and dynamical systems
• Witten-Morse theory for cell complexes
• Complexes of not \(i\)-connected graphs
• Morse theory for cell complexes
• On discrete Morse functions and combinatorial decompositions
• Morse theory and evasiveness
• Discrete Morse theory for complexes of 2-connected graphs

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