English

Cobordism of symplectic manifolds and asymptotic expansions

Symplectic Geometry 2007-05-23 v1 Algebraic Topology Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/9908070,
  title  = {Cobordism of symplectic manifolds and asymptotic expansions},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:math/9908070},
  year   = {2007}
}

Comments

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