論文

査読有り
2015年6月

MORSE-NOVIKOV THEORY, HEEGAARD SPLITTINGS, AND CLOSED ORBITS OF GRADIENT FLOWS

ST PETERSBURG MATHEMATICAL JOURNAL
  • H. Goda
  • ,
  • H. Matsuda
  • ,
  • A. Pajitnov

26
3
開始ページ
441
終了ページ
461
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1090/S1061-0022-2015-01345-9
出版者・発行元
AMER MATHEMATICAL SOC

The work of Donaldson and Mark made the structure of the SeibergWitten invariant of 3-manifolds clear. It corresponds to certain torsion type invariants counting flow lines and closed orbits of a gradient flow of a circle-valued Morse map on a 3-manifold. In the paper, these invariants are studied by using the Morse-Novikov theory and Heegaard splitting for sutured manifolds, and detailed computations are made for knot complements.


リンク情報
DOI
https://doi.org/10.1090/S1061-0022-2015-01345-9
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000357043800003&DestApp=WOS_CPL

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