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Millson, John J. Cycles and Harmonic Forms on Locally Symmetric Spaces. Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 3-38. doi: 10.4153/CMB-1985-001-x
@article{10_4153_CMB_1985_001_x,
author = {Millson, John J.},
title = {Cycles and {Harmonic} {Forms} on {Locally} {Symmetric} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {3--38},
year = {1985},
volume = {28},
number = {1},
doi = {10.4153/CMB-1985-001-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-001-x/}
}
[1] 1. Borel, A., Compact Clifford-Klein forms of symmetric spaces, Topology 2 (1963), pp. 111—122. Google Scholar
[2] 2. Borel, A. and Wallach, N., Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. Ann. of Math. Studies 94, Princeton Univ. Press, 1980. Google Scholar
[3] 3. Bott, R. and Tu, L.W., Differential Forms in Algebraic Topology, Graduate Texts in Math., 82, Springer. Google Scholar
[4] 4. Hirzbruch, F. and Zagier, D., Intersection numbers of curves on Hilbert modular surfaces and modular forms of nebentypus, Invent. Math., 36 (1976), pp. 57—113. Google Scholar
[5] 5. Howe, R., Remarks on classical invariant theory, preprint. Google Scholar
[6] 6. Howe, R. and Piatetski-Shapiro, I. I., Some examples of automorphic forms on Sp , Duke Mathematical Journal, 50 (1983), pp. 55–106. Google Scholar
[7] 7. Kazhdan, D., Connection of the dual space of a group with the structure of its closed subgroups, J. Func. Anal. Appl. (1967), pp. 63–65. Google Scholar
[8] 8. Kudla, S. and Millson, J., Geodesic cycles and the Weil representation I; quotients of hyperbolic space and Siegel modular forms, Compositio Mathematica 45 (1982), p. 207, p. 271. Google Scholar
[9] 9. Kudla, S. and Millson, J., The theta-correspondence and harmonic forms, preprint. Google Scholar
[10] 10. Kudla, S. and Millson, J., in preparation. Google Scholar
[11] 11. Lion, G. and Vergen, M., The Weil representation, Maslov index and Theta series, Progress in Mathematics 6, Birkhauser, 1980. Google Scholar
[12] 12. Millson, J., On the first Betti number of a constant negatively curved manifold, Annals of Mathematics 104, (1976), pp. 235–247. Google Scholar
[13] 13. Millson, J. and Raghunathan, M.S., Geometric Construction of cohomology for arithmetic groups I, Papers Dedicated to the Memory of V. K. Patodi, Indian Academy of Sciences, Bangalore 560080. Google Scholar
[14] 14. Mumford, D., Tata Lectures on Theta I, Birkhauser, 1983. Google Scholar
[15] 15. Oda, T., Periods of Hilbert modular surfaces, preprint. Google Scholar
[16] 16. Rallis, S., Injectivity properties of liftings associated to Weil representations, preprint. Google Scholar
[17] 17. Rossman, W., The structure of semisimple symmetric spaces, Can. J. Math., Vol. XXXI, No. 1, (1979), pp. 157–180. Google Scholar
[18] 18. Shapiro, A., Group extensions of compact Lie groups, Annals of Math., Series 2, 50 (1949), pp. 581–586. Google Scholar
[19] 19. Shintani, T., On the construction of holomorphic cusp forms of half-integral weight, Nagoya Math. J. 58 (1975), pp. 83–126. Google Scholar
[20] 20. Siegel, C.L., Über die analytische thorie der quadratischen formen. Annals of Math, Series 2, 36 (1935), pp. 527–606. Google Scholar
[21] 21. Zuckerman, G., Continuous cohomology and unitary representations of real reductive groups, Annals of Math. 107 (1978), pp. 495–516. Google Scholar
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