Some Very Trivial Ideas on Morse Theory

h0399932@hkusua.hku.hk · science forum beginner Joined: 03 Jul 2006 Posts: 1

Although I am a undergraduate student in Physics, I am always very
interested in self-learning Mathematics. I learned of Morse theory some
time ago [I thought it was very difficult, as I knew it is related with
Floer Homology], and I am really fond of its elegance and power. I
think it will be nice if we can do further generalizations of it to the
Lie group-valued case [when I learned of Novikov's theories I have a
bit more confidence on this], and maybe this will have some connection
with principal G-bundle, characteristic class and gauge theory
invariants such as Seiberg-Witten as well. So I spend some time to
think about it and write some of my ideas here:

http://hkusua.hku.hk/~h0399932/draft.png

It's very trivial and very prime. I still have too much to learn. But I
wish I could heard of your ideas on it. Thank you very much!

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