Mathematics – Symplectic Geometry
Scientific paper
1999-08-14
Mathematics
Symplectic Geometry
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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