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Pontryagin classes of locally symmetric manifolds

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arxiv 1404.1115 v1 pith:3YTTFL7Y submitted 2014-04-03 math.GT math.ATmath.RT

Pontryagin classes of locally symmetric manifolds

classification math.GT math.ATmath.RT
keywords locallypontryaginsymmetricclassesanswerclassclosedcompute
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In this note we compute low degree rational Pontryagin classes for every closed locally symmetric manifold of noncompact type. In particular, we answer the question: Which locally symmetric M have at least one nonzero Pontryagin class?

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