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Rochlin invariants, theta multipliers and holonomy
Author(s):
Ronnie
Lee;
Edward Y.
Miller;
Steven H.
Weintraub
Journal:
Bull. Amer. Math. Soc.
17
(1987),
275-278.
MSC (1985):
Primary 57M99;
Secondary 58G10
MathSciNet review:
903731
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References |
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Additional information
References:
- 1.
- J. M. Bismut and D. F. Freed, The analysis of elliptic families: Dirac operators, eta invariants, and the holonomy theorem of Witten, Comm. Math. Phys. 107 (1986), 103-163. MR 861886
- 2.
- E. Brown, The Kervaire invariant of a manifold, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1970, pp. 65-71. MR 322888
- 3.
- G. Brumfiel and J. Morgan, Quadratic functions, the index mod 8, and a Z/ 4 -Hirzebruch formula, Topology 12 (1973), 105-122. MR 324709
- 4.
- J.-I. Igusa, On the graded ring of theta-constants, Amer. J. Math. 86 (1964), 219-246. MR 164967
- 5.
- D. Johnson and J. Millson, Modular Lagrangians and the theta multiplier (to appear). MR 1037145
- 6.
- S. D. Ochanine, The signature of su-varieties, Math. Notes 13 (1973), 57-60.
- 7.
- A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47-87. MR 88511
- 8.
- A. Weil, Sur certains groupes d'operateurs unitaires, Acta Math. 111 (1964), 143-211. MR 165033
- 9.
- E. Witten, Global anomalies in string theory, Comm. Math. Phys. 100 (1985), 197-229. MR 804460
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15556-X
PII:
S 0273-0979(1987)15556-X
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