Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1990, Volume 38, Pages 3–118 (Mi intd126)  
This article is cited in 6 scientific papers (total in 6 papers)

Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem

F. F. Voronov
Full-text PDF (5984 kB) Citations (6)
Abstract: An analytic proof of the Atiyah–Singer index, theorem is given with the help of the tools of supermathematics. The index formula for the Dirac operator on a spinor manifold is obtained here by direct calculation. A large portion of the paper is devoted to questions of quantization on supermanifolds, using spinors as example.
English version:
Journal of Soviet Mathematics, 1993, Volume 64, Issue 4, Pages 993–1069
DOI: https://doi.org/10.1007/BF01097407
Bibliographic databases:
UDC: 517.954+515.16
Language: Russian
Citation: F. F. Voronov, “Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 38, VINITI, Moscow, 1990, 3–118; J. Soviet Math., 64:4 (1993), 993–1069
Citation in format AMSBIB
\Bibitem{Vor90}
\by F.~F.~Voronov
\paper Quantization on supermanifolds and an analytic proof of the Atiyah--Singer index theorem
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1990
\vol 38
\pages 3--118
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1156774}
\zmath{https://zbmath.org/?q=an:0738.58044|0784.58057}
\transl
\jour J. Soviet Math.
\yr 1993
\vol 64
\issue 4
\pages 993--1069
\crossref{https://doi.org/10.1007/BF01097407}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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