Timeline for "Determinant" rather than "trace" in the alternative formula "Lefschetz number"
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 23, 2020 at 22:16 | comment | added | Ali Taghavi | Thank you for your answer and comments. I just read your answer, I did not receive a nitification but I find it incidently | |
| Oct 19, 2020 at 19:02 | comment | added | Gibbon | If you're interested in relations to dynamical systems, check out the Fried conjecture. | |
| Oct 19, 2020 at 18:28 | comment | added | Gibbon | For instance, see definition 4 in these notes. maths.ed.ac.uk/~v1ranick/papers/torsion.pdf In analytic torsion, you form an alternating product after taking some powers of the regularized determinant. en.wikipedia.org/wiki/Analytic_torsion The Cheeger Muller theorem relates these two invariants under certain conditions. | |
| Oct 19, 2020 at 18:22 | comment | added | Gibbon | So the torsion invariants are defined using alternating products as people have discussed in the comments in the question. For the Reidemeister torsion, it's easier to see this in the case where the complex is acyclic. | |
| Oct 19, 2020 at 15:18 | review | Late answers | |||
| Oct 19, 2020 at 15:53 | |||||
| Oct 19, 2020 at 15:11 | comment | added | abx | If $f$ is the identity $\det (f^*)$ is 1, so $\Lambda'(f)$ is 0 or 1 according to the parity of $\dim(X)$. | |
| Oct 19, 2020 at 15:05 | review | First posts | |||
| Oct 19, 2020 at 16:05 | |||||
| Oct 19, 2020 at 15:03 | history | undeleted | Gibbon | ||
| Oct 19, 2020 at 15:03 | history | deleted | Gibbon | via Vote | |
| Oct 19, 2020 at 15:02 | history | answered | Gibbon | CC BY-SA 4.0 |