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arxiv: math/9807058 · v1 · submitted 1998-07-11 · 🧮 math.QA · math.AG

Quantum generalized cohomology

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keywords cohomologygeneralizedquantumrelatedringstructurecategorycobordism
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We construct a ring structure on complex cobordism tensored with the rationals, which is related to the usual ring structure as quantum cohomology is related to ordinary cohomology. The resulting object defines a generalized two- dimensional topological field theory taking values in a category of spectra.

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