On the chain-level intersection pairing for PL manifolds

@inproceedings{McClure2004OnTC,
  title={On the chain-level intersection pairing for PL manifolds},
  author={James E. McClure},
  year={2004}
}
Let M be a compact oriented PL manifold and let C M be its PL chain complex. The domain of the chain-level intersection pairing is a subcomplex of C M ̋C M . We prove that the inclusion map from this subcomplex to C M ̋C M is a quasiisomorphism. An analogous result is true for the domain of the iterated intersection pairing. Using this, we show that the intersection pairing gives C M a structure of partially defined commutative DGA, which in particular implies that C M is canonically quasi… Expand
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On the chain-level intersection pairing for PL manifolds
Let M be a compact oriented PL manifold and let C M be its PL chain complex. The domain of the chain-level intersection pairing is a subcomplex of C M C M . We prove that the inclusion map from thisExpand
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