Symplectic Harmonic Thom FormsFall Eastern Sectional Meeting of the American Mathematical Society (AMS) (2011)
Consider the symplectic Harmonic Thom forms of an oriented submanifold of symplectic manifold. It was shown by Bahramgiri that the symplectic harmonic Thom forms of co-isotropic and symplectic submanifolds exhibit interesting properties very different from Riemannian Harmonic forms. In particular, when the submanifold is co-isotropic, the symplectic harmonic form is supported in a tubular neighborhood of the submanifold; and when the submanifold is symplectic, its symplecitc harmonic form is supported everywhere on the ambient symplectic manifold. In this talk, I will give a quick introduction to symplectic hodge theory and explain the main ideas involved in the work of Bahramgiri. I will then discuss what I know about the symplectic harmonic forms of isotropic submanifolds.
- Symplectic Harmonic Thom forms
Publication DateSeptember 10, 2011
Citation InformationYi Lin. "Symplectic Harmonic Thom Forms" Fall Eastern Sectional Meeting of the American Mathematical Society (AMS) (2011)
Available at: http://works.bepress.com/yi_lin/4/