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Izvestiya: Mathematics, 2009, Volume 73, Issue 4, Pages 689–698
DOI: https://doi.org/10.1070/IM2009v073n04ABEH002462 (Mi im2639) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Homology class of a Lagrangian Klein bottle

S. Yu. Nemirovskiab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Ruhr-Universität Bochum
English version PDF (250 kB) Citations (15)
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DOI: https://doi.org/10.1070/IM2009v073n04ABEH002462
Abstract: It is shown that an embedded Lagrangian Klein bottle realises a non-zero mod 2 homology class in a compact symplectic four-manifold $(X,\omega)$ such that $c_1(X,\omega)\cdot[\omega] > 0$.
Keywords: Lagrangian embedding, totally real embedding, Luttinger surgery.
Received: 26.03.2007
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2009, Volume 73, Issue 4, Pages 37–48
DOI: https://doi.org/10.4213/im2639
Bibliographic databases:
Document Type: Article
UDC: 513.8+515.1
MSC: 57R17, 53D12, 32Q60
Language: English
Original paper language: Russian
Citation: S. Yu. Nemirovski, “Homology class of a Lagrangian Klein bottle”, Izv. RAN. Ser. Mat., 73:4 (2009), 37–48; Izv. Math., 73:4 (2009), 689–698
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im2639
  • https://doi.org/10.1070/IM2009v073n04ABEH002462
  • https://www.mathnet.ru/eng/im/v73/i4/p37
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:1040
    Russian version PDF:331
    English version PDF:28
    References:86
    First page:31
     
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