Hyperkähler Floer theory as infinite dimensional Hamiltonian system

Hohloch, Sonja

doi:10.1090/S0002-9939-2015-12511-7

Hyperkähler Floer theory as infinite dimensional Hamiltonian system
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Proc. Amer. Math. Soc. 143 (2015), 3519-3524

Abstract:

We reformulate the equation characterizing the critical points of the hypersymplectic action functional as solutions of a Hamiltonian system on the iterated loop space. The intent is to gain more insight into dynamics of hyperkähler Floer theory.

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