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Cobordism of symplectic manifolds and asymptotic expansions

Jack Morava
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Abstract

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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Jack Morava. 1999-08-14. Cobordism of symplectic manifolds and asymptotic expansions. https://arxiv.org/abs/math/9908070

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