Geodesic
Cycles and Harmonic Forms on Locally Symmetric Spaces
Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 3-38

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DOI

Two constructions of cohomology classes for congruence subgroups of unit groups of quadratic forms over totally real number fields are given and shown to coincide. One is geometric, using cycles, and the other is analytic, using the oscillator (Weil) representation. Considerable background material on this representation is given.
DOI : 10.4153/CMB-1985-001-x
Mots-clés : 32N10 
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
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     title = {Cycles and {Harmonic} {Forms} on {Locally} {Symmetric} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1985},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-001-x/}
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