Morse–Novikov theory, Heegaard splittings, and closed orbits of gradient flows
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Publication:5254784
DOI10.1090/S1061-0022-2015-01345-9zbMath1328.57015arXiv0709.3153MaRDI QIDQ5254784
Hiroshi Goda, Hiroshi Matsuda, Andrey Vladimirovich Pajitnov
Publication date: 10 June 2015
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.3153
Morse mapNovikov complexLefschetz zeta functionsutured manifoldoriented knothalf-transversal gradients
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Cites Work
- Circle-valued Morse theory
- Dynamics of gradient flows in the half-transversal Morse theory
- Detecting fibred links in \(S^ 3\)
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- Torsion, TQFT, and Seiberg-Witten invariants of 3-manifolds
- Twisted Novikov homology and circle-valued Morse theory for knots and links
- On stability of Heegaard splittings
- Simple homotopy type of the Novikov complex and the Lefschetz ζ-function of a gradient flow
- Foliations and the topology of 3-manifolds
- \(\underline{SW}\)=Milnor torsion
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