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

Posted: Mon Jul 03, 2006 12:29 am Post subject:
Some Very Trivial Ideas on Morse Theory



Although I am a undergraduate student in Physics, I am always very
interested in selflearning 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 groupvalued 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 Gbundle, characteristic class and gauge theory
invariants such as SeibergWitten 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! 
