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arxiv: math/9908070 · v1 · submitted 1999-08-14 · 🧮 math.SG · math.AT· math.QA

Cobordism of symplectic manifolds and asymptotic expansions

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keywords cobordismmanifoldsexpansionsringsymplecticactionsappendixasymptotic
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The cobordism ring of symplectic manifolds defined by V.L. Ginzburg is shown to be isomorphic to the Pontrjagin ring of complex-oriented manifolds with free circle actions. This suggests an interpretation of the formal group law of complex cobordism, in terms of a composition-law on semiclassical expansions. An appendix discusses related questions about cobordism of toric varieties.

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