Homology and manifolds with corners

Mathematics – Geometric Topology

Scientific paper

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16 pages, and 5 figures

Scientific paper

We define a model for the homology of manifolds and use it to describe the
intersection product on the homology of compact oriented manifolds and to
define homological quantum field theories which generalizes the notions of
string topology introduced by Chas and Sullivan and homotopy quantum field
theories introduced by Turaev.

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