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Izvestiya: Mathematics, 2002, Volume 66, Issue 1, Pages 151–164
DOI: https://doi.org/10.1070/IM2002v066n01ABEH000375 (Mi im375) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Lefschetz pencils, Morse functions, and Lagrangian embeddings of the Klein bottle

S. Yu. Nemirovski

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (221 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM2002v066n01ABEH000375
Abstract: It is shown that the mod 2 homology class represented by a Lagrangian Klein bottle in a complex algebraic surface is non-zero. In particular, the Klein bottle does not admit a Lagrangian embedding into the standard symplectic four-space.
Received: 05.09.2001
Bibliographic databases:
Document Type: Article
UDC: 513.8+515.1
MSC: 53D12, 14D05, 32F17
Language: English
Original paper language: Russian
Citation: S. Yu. Nemirovski, “Lefschetz pencils, Morse functions, and Lagrangian embeddings of the Klein bottle”, Izv. Math., 66:1 (2002), 151–164
Citation in format AMSBIB
\Bibitem{Nem02}
\by S.~Yu.~Nemirovski
\paper Lefschetz pencils, Morse functions, and Lagrangian embeddings of the Klein bottle
\jour Izv. Math.
\yr 2002
\vol 66
\issue 1
\pages 151--164
\mathnet{http://mi.mathnet.ru//eng/im375}
\crossref{https://doi.org/10.1070/IM2002v066n01ABEH000375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1917541}
\zmath{https://zbmath.org/?q=an:1041.53049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748484719}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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