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Cobordism of symplectic manifolds and asymptotic expansions

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arxiv math/9908070 v1 pith:C3KWZIQI submitted 1999-08-14 math.SG math.ATmath.QA

Jack Morava This is my paper · ORCID
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On a complex topological orientation for circle-equivariant K-theory

    math.KT 2025-05 reject novelty 4.0 of 10

    The paper attempts to define a T-equivariant complex orientation for K-theory via a formal group law, but the proof has a load-bearing algebraic sign error.

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