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PIRSA:20050054

Quasisymmetric characteristic numbers for Hamiltonian toric manifolds

Morava, J. (2020). Quasisymmetric characteristic numbers for Hamiltonian toric manifolds. Perimeter Institute. https://pirsa.org/20050054

Jack Morava

Johns Hopkins University

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PIRSA:20050054
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Abstract
Baker and Richter's $A_\infty$ analog of the complex cobordism spectrum provides characteristic numbers for complex-oriented toric manifolds, which generalize to define similar invariants for Hamiltonian toric dynamical systems: roughly, the `completely integrable' systems of classical mechanics which (by KAM theory) possess remarkable stability properties. arXiv:1910.12609