Timeline for Chern character of the index bundle for a family of Dirac operators
Current License: CC BY-SA 3.0
3 events
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| Apr 12, 2011 at 7:44 | history | edited | S. Carnahan♦ | CC BY-SA 3.0 |
Tex repairs/workarounds
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| Apr 2, 2011 at 0:53 | comment | added | charris | Thanks for the great response. Sorry my question wasn't completely clear. I was wondering if there were other situations like we're discussing where something "interesting" happens like the index bundle is actually trivial. But I was very interested in a conceptual understanding in this case, so your answer should really help me out a lot. I could be wrong, but I don't think the triviality of the index bundle (immediately) follow from the H-C-S result. Multiplicativity of the signature doesn't require strict multiplicativity (that the fiber integral ends up only in degree 0). | |
| Apr 1, 2011 at 17:09 | history | answered | Johannes Ebert | CC BY-SA 2.5 |