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- W1969898627 abstract "Let X be a simply connected space and K be any field. The normalized singular cochains N ∗ (X; K ) admit a natural strongly homotopy commutative algebra structure, which induces a natural product on the Hochschild homology HH ∗ N ∗ X of the space X . We prove that, endowed with this product, HH ∗ N ∗ X is isomorphic to the cohomology algebra of the free loop space of X with coefficients in K . We also show how to construct a simpler Hochschild complex which allows direct computation." @default.
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- W1969898627 date "2002-01-01" @default.
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- W1969898627 title "On the cohomology algebra of free loop spaces" @default.
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- W1969898627 doi "https://doi.org/10.1016/s0040-9383(00)00022-7" @default.
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