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Book Review
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Book Information
Author(s):
Yuri I. Manin
Title:
Gauge field theory and complex geometry
Additional book information:
Translated from the Russian by N. Koblitz and J. R. King, Springer-Verlag, Berlin, Heidelberg, 1988, x + 295 pp., $80.00. ISBN 0387-18275-6
References:
- 1.
- M. Atiyah, N. Hitchin, V. Drinfeld, and Y. Manin, Construction of instantons, Phys. Lett. 65A (1978), 185-187. MR 598562
- 2.
- R. Baston and L. Mason, Conformal gravity, the Einstein equations, and spaces of complex null geodesics, Class Quantum Grav. 4 (1987), 815-826. MR 895903
- 3.
- F. Berezin and D. Leites, Supermanifolds, Soviet Math. Dokl. 16 (1975), 1218-1221. MR 402795
- 4.
- S. Donaldson, The geometry of 4-manifolds, Proc. Internat. Congr. Math., Berkeley, 1986, pp. 43-54; Amer. Math. Soc., Providence, R. I., 1987. MR 934214
- 5.
- M. Green, J. Schwarz, and E. Witten, Superstring theory, Cambridge Univ. Press, 1987.
- 6.
- J. Isenberg, P. Yasskin, and P. Green, Non-self-dual gauge fields, Phys. Lett. 78B (1978), 462-464.
- 7.
- B. Kostant, Graded manifolds, graded Lie theory, and prequantization, Differential Geometric Methods in Mathematicas Physics, Lecture Notes in Math., vol. 570, Springer-Verlag, Berlin and New York, 1977. MR 580292
- 8.
- C. LeBrun, Thickenings and gauge fields, Class. Quantum Grav. 3 (1986), 1039-1059. MR 868717
- 9.
- C. LeBrun, Thickenings and conformal gravity, preprint, 1989. MR 1116408
- 10.
- C. LeBrun and M. Rothstein, Moduli of super Riemann surfaces, Commun. Math. Phys. 117 (1988), 159-176. MR 946998
- 11.
- Y. Manin, Critical dimensions of string theories and the dualizing sheaf on the moduli space of (super) curves, Funct. Anal. Appl. 20 (1987), 244-245.
- 12.
- R. Penrose and W. Rindler, Spinors and space-time, V. 2, spinor and twistor methods in space-time geometry, Cambridge Univ. Press, 1986. MR 838301
- 13.
- R. Ward, On self-dual gauge fields, Phys. Lett. 61A (1977), 81-82. MR 443823
- 14.
- E. Witten, An interpretation of classical Yang-Mills theory, Phys. Lett. 77NB (1978), 394-398.
- 15.
- E. Witten, Twistor-like transform in ten dimensions, Nucl. Phys. B266 (1986), 245-264. MR 829140
- 16.
- E. Witten, Physics and geometry, Proc. Internat. Congr. Math., Berkeley, 1986, pp. 267-302, Amer. Math. Soc., Providence, R. I., 1987.
Additional Information:
Reviewer(s):
Claude
Lebrun
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
192-196.
DOI:
10.1090/S0273-0979-1989-15816-3
PII:
S 0273-0979(1989)15816-3
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