Cobordism of symplectic manifolds and asymptotic expansions

Mathematics – Symplectic Geometry

Scientific paper

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A talk at the conference in honor of S.P. Novikov's 60th birthday

Scientific paper

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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