Timeline for Alexander invariant of torus knot
Current License: CC BY-SA 4.0
17 events
| when toggle format | what | by | license | comment | |
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| Jul 30, 2022 at 2:43 | comment | added | Gerry Myerson | Some time ago, an edit was made that eliminated the (1), (2), (3), (4) tags but left in a reference to them. | |
| May 9, 2022 at 14:20 | history | edited | YCor | CC BY-SA 4.0 |
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| May 9, 2022 at 13:27 | answer | added | Giacomo Bascapè | timeline score: 5 | |
| May 6, 2022 at 22:33 | comment | added | Giacomo Bascapè | I still don't see solution: I can't compute the Smith Normal form with the natural algorithm because Z[t,t^-1] is not a PID | |
| May 18, 2014 at 16:53 | review | Close votes | |||
| May 19, 2014 at 18:01 | |||||
| May 18, 2014 at 16:38 | comment | added | Ryan Budney | I like Ian's suggestion. One way to do it efficiently would be to apply Reidemeister-Schrier to your presentation of the fundamental group. | |
| May 11, 2014 at 1:49 | history | edited | Jacob.Z.Lee | CC BY-SA 3.0 |
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| May 11, 2014 at 1:26 | comment | added | Jacob.Z.Lee | yeah. We can get the result by other methods ,like free calculus . | |
| May 11, 2014 at 1:19 | comment | added | Jacob.Z.Lee | I want to get the relation $\Delta(t)\alpha=0$ by eliminate the gennerator $\beta$.So we get the $\Lambda-$module $H_1(\tilde{X})\cong(\alpha\mid \Delta(t)\alpha=0)\cong \Lambda/(\Delta(t))$ | |
| May 10, 2014 at 18:19 | comment | added | Dietrich Burde | See mathoverflow.net/questions/129717/…. | |
| May 10, 2014 at 17:36 | comment | added | Ian Agol | Just a remark: torus knot complements are mapping tori of finite-order automorphisms, from which one may deduce the Alexander polynomial by taking the characteristic polynomial. | |
| May 10, 2014 at 13:15 | history | edited | Jacob.Z.Lee | CC BY-SA 3.0 |
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| May 10, 2014 at 5:56 | comment | added | Alex Degtyarev | Convert the matrix to its Smith normal form. In this particular case, this is doable over the integers. | |
| S May 10, 2014 at 3:47 | history | suggested | gaoxinge | CC BY-SA 3.0 |
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| May 10, 2014 at 3:18 | review | Suggested edits | |||
| S May 10, 2014 at 3:47 | |||||
| May 10, 2014 at 1:36 | history | edited | Jacob.Z.Lee | CC BY-SA 3.0 |
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| May 10, 2014 at 1:30 | history | asked | Jacob.Z.Lee | CC BY-SA 3.0 |