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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:
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- [1]
- M. Batchelor, Two approaches to supermanifolds, Trans. Amer. Math. Soc. 258 (1980), 257-270. MR 554332 (81f:58001)
- [2]
- F. A. Berezin, The method of second quantization, Academic Press, New York, 1966. MR 0208930 (34:8738)
- [3]
- -, Introduction to superanalysis, Reidel, Dordrecht, 1987.
- [4]
- F. A. Berezin and G. I. Kac, Lie groups with commuting and anticommuting parameters, Math. USSR Sb. 11 (1970), 311. MR 0265520 (42:429)
- [5]
- F. A. Berezin and D. A. Leites, Supermanifolds, Soviet Math. Dokl. 6 (1976), 1218-1222.
- [6]
- S. Deser and B. Zumino, Consistent supergravity, Phys. Lett. B 62 (1976), 335. MR 0411531 (53:15264)
- [7]
- B. S. DeWitt, Supermanifolds, Cambridge Univ. Press, London and New York, 1984. MR 778559 (87b:58007)
- [8]
- S. Ferrera, D. Freedman, and P. van Nieuwenhuizen, Progress towards a theory of supergravity, Phys. Rev. D (3) 13 (1976), 3214. MR 0462449 (57:2422)
- [9]
- A. Inoue and Y. Maeda, Foundations of calculus on super euclidean space
based on a Fréchet-Grassmann algebra, Kodai Math. J. 14 (1991), 72-112. MR 1099318 (93c:58034) - [10]
- B. Kostant, Graded manifolds, graded Lie theory and prequantization, Differential Geometric Methods in Mathematical Physics, Lecture Notes in Math., vol. 570, Springer-Verlag, New York, 1977. MR 0580292 (58:28326)
- [11]
- D. A. Leites, Introduction to the theory of supermanifolds, Russian Math. Surv. 35 (1980), 1-64. MR 565567 (81j:58003)
- [12]
- J. Martin, The feynman principle for a fermi system, Proc. Roy. Soc. London Ser. A, 251 (1959), 543-549. MR 0109640 (22:526)
- [13]
- A. Rogers, A global theory of supermanifolds, J. Math. Phys. 21 (1980), 1352-1365. MR 574696 (82d:58001)
- [14]
- -, Super Lie groups: global topology and local structure, J. Math. Phys. 22 (1981), 939-945. MR 622840 (83a:22021)
- [15]
- M. Rothstein, The axioms of supermanifolds and a new structure arising from them, Trans. Amer. Math. Soc. 297 (1986), 159-180. MR 849473 (87m:58015)
- [16]
- Abdus Salam and J. Strathdee, Supergauge transformations, Nuclear Phys. B Proc. Suppl. (1974). MR 0356737 (50:9206)
- [17]
- D. V. Volkov and V. P. Akulov, Is the neutrino a Goldstone particle?, Phys. Lett B 46 (1973), 109-110.
- [18]
- J. Wess and B. Zumino, Supergauge transformations in four dimensions, Nuclear Phys. B 70 (1974), 39. MR 0356830 (50:9299)
- [19]
- Peter West, Introduction to supersymmetry and supergravity, World Scientific, Singapore, 1990. MR 1112396 (92f:81004)
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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