Wanted to start learning K-theory to see if it is suitable for a undergraduate thesis (from an algebraic-topological view). For reference, I only know Hatcher's book (mostly because I've read his book about algebraic-topology) But I wanted to know what are the necessary prerequisite to achieve a good level of understanding of the subject. I've had courses in algebraic topology, commutative algebra, group theory... All of them at undergraduate level

Thanks in advance

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    $\begingroup$ Some differential geometry would help a lot (tangent bundles etc), but otherwise I think you're good. $\endgroup$ – Najib Idrissi Dec 4 '13 at 15:23
  • $\begingroup$ Yeah I'm following a course about classical diff. Geom, but we are studying now some basics notion of abstract diff geom, $\endgroup$ – Riccardo Dec 4 '13 at 15:26

I did pretty much what you're proposing when I was an undergrad, and with precisely that level of background. I had not taken differential geometry at that point, so it's not totally necessary; however, I do think that I could have used a little more exposure to geometric ideas, since Atiyah's book (said to be excellent) was entirely lost on me for this reason.


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