18.966 | Spring 2007 | Graduate
Geometry of Manifolds
Lecture Notes

lect06.pdf

Description:

Lecture notes on tangent space to the group of symplectomorphisms; fixed points of symplectomorphisms; Arnold’s conjecture; Morse theory: Gradient trajectories, Morse complex, homology; action functional on the loop space, and the basic idea of Floer homology.

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Lecture Notes
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Spring 2007
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assignment_turned_in Problem Sets with Solutions
notes Lecture Notes