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Cycles and Harmonic Forms on Locally Symmetric Spaces

Published online by Cambridge University Press:  20 November 2018

John J. Millson
John J. Millson*
Affiliation:
UCLA, Los Angeles, California, 90024
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Abstract

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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.

Keywords

32N10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 1 , 01 March 1985 , pp. 3 - 38
Copyright
Copyright © Canadian Mathematical Society 1985

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