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Book Review
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Book Information
Author(s):
Claudio Bartocci, Ugo Bruzzo, and Daniel Hern\'andez-Ruip\'erez
Title:
The geometry of supermanifolds
Additional book information:
Kluwer Academic Publ., Dordrecht 1991, 242 pp., US$77.00. ISBN 0-7923-1440-9
References:
- [1]
- M. Batchelor, Two approaches to supermanifolds, Trans. Amer. Math. Soc. \textbf{258} (1980), 257--270.
- [2]
- F. A. Berezin, The method of second quantization, Academic Press, New York, 1966.
- [3]
- F. A. Berezin, Introduction to superanalysis, Reidel, Dordrecht, 1987.
- [4]
- F. A. Berezin and G. I. Kac, Lie groups with commuting and anticommuting parameters, Math. USSR Sb. \textbf{11} (1970), 311.
- [5]
- F. A. Berezin and D. A. Le\v ites, Supermanifolds, Soviet Math. Dokl. \textbf{6} (1976), 1218--1222.
- [6]
- S. Deser and B. Zumino, Consistent supergravity, Phys. Lett. B \textbf{62} (1976), 335.
- [7]
- B. S. DeWitt, Supermanifolds, Cambridge Univ. Press, London and New York, 1984.
- [8]
- S. Ferrera, D. Freedman, and P. van Nieuwenhuizen, Progress towards a theory of supergravity, Phys. Rev. \rm D (3) \textbf{13} (1976), 3214.
- [9]
- A. Inoue and Y. Maeda, Foundations of calculus on super euclidean space $R^{m|n}$ based on a Fr\'echet-Grassmann algebra, Kodai Math. J. \textbf{14} (1991), 72--112.
- [10]
- B. Kostant, \emph{Graded manifolds, graded Lie theory and prequantization} vol.~570, Springer-Verlag, New York, 1977.
- [11]
- D. A. Le\v ites, Introduction to the theory of supermanifolds, Russian Math. Surv. \textbf{35} (1980), 1--64.
- [12]
- J. Martin, The feynman principle for a fermi system, Proc. Roy. Soc. London Ser. A, \textbf{251} (1959), 543--549.
- [13]
- A. Rogers, A global theory of supermanifolds, J. Math. Phys. \textbf{21} (1980), 1352--1365.
- [14]
- A. Rogers, Super Lie groups\,{\rm :} global topology and local structure, J. Math. Phys. \textbf{22} (1981), 939--945.
- [15]
- M. Rothstein, The axioms of supermanifolds and a new structure arising from them, Trans. Amer. Math. Soc. \textbf{297} (1986), 159--180.
- [16]
- Abdus Salam and J. Strathdee, Supergauge transformations, Nuclear Phys. B Proc. Suppl. (1974).
- [17]
- D. V. Volkov and V. P. Akulov, Is the neutrino a Goldstone particle\,{\rm ?}, Phys. Lett B \textbf{46} (1973), 109--110.
- [18]
- J. Wess and B. Zumino, Supergauge transformations in four dimensions, Nuclear Phys. B \textbf{70} (1974), 39.
- [19]
- Peter West, Introduction to supersymmetry and supergravity, World Scientific, Singapore, 1990.
Additional Information:
Reviewer(s):
Alice
Rogers
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
184-189.
DOI:
10.1090/S0273-0979-1993-00352-5
PII:
S 0273-0979(1993)00352-5
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