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Izvestiya: Mathematics, 2001, Volume 65, Issue 1, Pages 181–205
DOI: https://doi.org/10.1070/im2001v065n01ABEH000325 (Mi im325) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Spaces of Hermitian triples and the Seiberg–Witten equations

N. A. Tyurin

Moscow State University of Transportation
English version PDF (573 kB) Citations (4)
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DOI: https://doi.org/10.1070/im2001v065n01ABEH000325
Abstract: In [12] we described a canonical map $\tau$ of the space of all Hermitian triples to the real cohomology space. In this paper we use this map to introduce new equations, which are gauge-invariant with respect to the action of $\operatorname{Diff}^+X$. We also describe a connection between these equations and the Seiberg–Witten equations and invariants for 4-manifolds.
Received: 31.05.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 1, Pages 197–224
DOI: https://doi.org/10.4213/im325
Bibliographic databases:
MSC: 53C07
Language: English
Original paper language: Russian
Citation: N. A. Tyurin, “Spaces of Hermitian triples and the Seiberg–Witten equations”, Izv. RAN. Ser. Mat., 65:1 (2001), 197–224; Izv. Math., 65:1 (2001), 181–205
Citation in format AMSBIB
\Bibitem{Tyu01}
\by N.~A.~Tyurin
\paper Spaces of Hermitian triples and the Seiberg--Witten equations
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 1
\pages 197--224
\mathnet{http://mi.mathnet.ru/im325}
\crossref{https://doi.org/10.4213/im325}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1829409}
\zmath{https://zbmath.org/?q=an:1009.57039}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 181--205
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000325}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-3843091017}
Linking options:
  • https://www.mathnet.ru/eng/im325
  • https://doi.org/10.1070/im2001v065n01ABEH000325
  • https://www.mathnet.ru/eng/im/v65/i1/p197
    • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:416
    Russian version PDF:268
    English version PDF:32
    References:45
    First page:2
     
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