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Pontryagin classes of locally symmetric manifolds

Geometric Topology 2015-11-25 v1 Algebraic Topology Representation Theory

Abstract

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?

Keywords

Cite

@article{arxiv.1404.1115,
  title  = {Pontryagin classes of locally symmetric manifolds},
  author = {Bena Tshishiku},
  journal= {arXiv preprint arXiv:1404.1115},
  year   = {2015}
}

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37 pages