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A note on Morse theory of harmonic 1-forms

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Publication:1292671
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DOI10.1016/S0040-9383(98)00018-4zbMath0959.58014OpenAlexW2048169087MaRDI QIDQ1292671

Ko Honda

Publication date: 26 April 2001

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0040-9383(98)00018-4


zbMATH Keywords

Morse theoryharmonic 1-forms


Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45)


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Closed forms transverse to singular foliations ⋮ Harmonic maps 𝐌³→𝐒¹ and 2-cycles, realizing the Thurston norm ⋮ Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms ⋮ Sufficient conditions for the compactifiability of~a~closed~one-form~foliation ⋮ Singular foliations for M-theory compactification ⋮ A note on the linearity of real-valued functions with respect to suitable metrics ⋮ On the structure of a Morse form foliation



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