Dynamics of gradient flows in the half-transversal Morse theory

DOI10.3792/pjaa.85.6zbMath1182.57008OpenAlexW2055093344MaRDI QIDQ1014378

Hiroshi Goda, Andrei V. Pajitnov

Publication date: 27 April 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.6

zbMATH Keywords

torsionMorse theorygradient flowSeiberg-Witten invariantszeta functionNovikov homology

Mathematics Subject Classification ID

Related Items (3)

On the tunnel number and the Morse-Novikov number of knots ⋮ Non-commutative Reidemeister torsion and Morse-Novikov theory ⋮ Morse–Novikov theory, Heegaard splittings, and closed orbits of gradient flows

Cites Work

• Circle-valued Morse theory
• Heegaard splitting for sutured manifolds and Murasugi sum
• On handle number of Seifert surfaces in \(S^ 3\)
• Existence of nonsingular closed 1-forms in a de Rham cohomology class
• Circle-valued Morse theory and Reidemeister torsion
• Torsion, TQFT, and Seiberg-Witten invariants of 3-manifolds
• Monopoles and four-manifolds
• On the Novikov complex for rational Morse forms
• Twisted Novikov homology and circle-valued Morse theory for knots and links
• Morse–Novikov theory, Heegaard splittings, and closed orbits of gradient flows
• \(\underline{SW}\)=Milnor torsion
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