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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 6, Pages 1325–1364
DOI: https://doi.org/10.1070/IM1971v005n06ABEH001248 (Mi im2173) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Homotopy invariants of nonsimply connected manifolds. III. Higher signatures

A. S. Mishchenko
English version PDF (1486 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM1971v005n06ABEH001248
Abstract: The homotopy invariance of the higher signatures of nonsimply connected manifolds is proved in this paper. The method of proof is based on the study of absolute invariants of nonsimply connected manifolds similar to algebraic $K$-theory and on the construction of an analog to intersection theory for Poincaré complexes.
Received: 07.05.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 6, Pages 1316–1355
Bibliographic databases:
Document Type: Article
UDC: 513.8
MSC: Primary 57D65, 57B10; Secondary 57C10, 57C20, 57D10
Language: English
Original paper language: Russian
Citation: A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures”, Izv. Akad. Nauk SSSR Ser. Mat., 35:6 (1971), 1316–1355; Math. USSR-Izv., 5:6 (1971), 1325–1364
Citation in format AMSBIB
\Bibitem{Mis71}
\by A.~S.~Mishchenko
\paper Homotopy invariants of nonsimply connected manifolds.~III. Higher signatures
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 6
\pages 1316--1355
\mathnet{http://mi.mathnet.ru/im2173}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293658}
\zmath{https://zbmath.org/?q=an:0248.57014}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 6
\pages 1325--1364
\crossref{https://doi.org/10.1070/IM1971v005n06ABEH001248}
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  • https://doi.org/10.1070/IM1971v005n06ABEH001248
  • https://www.mathnet.ru/eng/im/v35/i6/p1316
    Cycle of papers Remarks
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:459
    Russian version PDF:156
    English version PDF:4
    References:53
    First page:3
     
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