Timeline for Request for examples: verifying vs understanding proofs
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2020 at 9:03 | comment | added | Wojowu | @Adrien Thank you, I'm showing off my ignorance in the field of knot theory; my little experience with the field is through the more elementary invariants presented via knot diagrams. Sometimes I'm forgetting knot theory is a subfield of topology and not combinatorics :) | |
| Jun 10, 2020 at 8:23 | comment | added | Adrien | @Wojowu the same case could be make about the HOMFLY polynomial, but apart from that all the "classical" knot invariants are either super elementary or have a clear topological definition (or both) e.g. knot group, linking number, crossing number,... On the other hand, others "quantum" invariant do not have such a simple rule to compute them, the only exception being the Alexander polynomial which in a way is both classical and quantum, and as Will say does have a clear topological meaning. | |
| Jun 9, 2020 at 22:53 | comment | added | Will Sawin | @Wojowu Not, e.g., the Alexander polynomial. | |
| Jun 9, 2020 at 22:26 | comment | added | Wojowu | Isn't the same true of most knot invariants? Especially the ones like this one which are given in terms of the knot diagrams | |
| S Jun 9, 2020 at 20:00 | history | answered | Adrien | CC BY-SA 4.0 | |
| S Jun 9, 2020 at 20:00 | history | made wiki | Post Made Community Wiki by Adrien |