Timeline for Relating Euler characteristic, intersection product, Morse theory (plus SU(2) and 3-manifolds)
Current License: CC BY-SA 2.5
5 events
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| Jan 7, 2010 at 16:23 | history | edited | Kevin Walker | CC BY-SA 2.5 |
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| Jan 7, 2010 at 16:18 | comment | added | Kevin Walker |
Oops -- you're right. That's a silly thing for me to get wrong. I don't immediately see a way to fix my argument above to work in the general case. Maybe by understanding the tangent spaces of Q_1 and Q_2 in more detail one can cook up a perturbation which gets rid of the irreducibles while not changing the reducibles very much? Or maybe there's a simpler, better argument which identifies the homology classes of Q_1 and Q_2 inside H_*(H)?
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| Jan 7, 2010 at 6:32 | comment | added | Sam Lewallen | Thanks, this looks really good! But I don't think being a QHS is enough to guarantee that the reducibles and irreducibles are separated? Sometimes the irreducibles limit to the reducibles (this is discussed in the paper of Boyer and Nicas). That was the case where I really couldn't see what to do... do you have any ideas there? Thanks again! | |
| Jan 7, 2010 at 6:30 | history | edited | Kevin Walker | CC BY-SA 2.5 |
edited body
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| Jan 6, 2010 at 20:41 | history | answered | Kevin Walker | CC BY-SA 2.5 |