Timeline for The signature of a mapping torus
Current License: CC BY-SA 3.0
3 events
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| May 1, 2011 at 9:12 | comment | added | Samuel Monnier | Thanks for the counterexample. Supposedly I would like some extra structure on $M$ and $B$, with appropriate compatibility conditions, that would rule out such examples. This is not yet completely clear to me. I'm just asking for litterature where the signature of mapping tori is computed. I also forgott to mention the one paper I already know, which treats the case of dimension $8k+2$ spin manifolds: projecteuclid.org/euclid.bams/1183554174 There the Rohlin invariant of the mapping torus depends only on the class of the diffeomorphism. | |
| Apr 30, 2011 at 6:31 | comment | added | Bruno Martelli | If you make a connected sum of $B$ with $\pm\mathbb{CP}^{2k+2}$ you vary the signature by $\pm 1$, so it cannot depend of $\phi$ only. Maybe $B$ has an even intersection form? | |
| Apr 29, 2011 at 23:30 | history | asked | Samuel Monnier | CC BY-SA 3.0 |