Timeline for Addition of two homology classes is zero in construction of Poincare Sphere
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 7, 2016 at 8:45 | comment | added | Sam Nead | I learned this material out of Rolfsen's book "Knots and links" and the book "Knots, links, braids, and three-manifolds" by Prasolov and Sossinsky. | |
| May 5, 2016 at 19:38 | comment | added | D1811994 | It meets $\partial X$ at the crossings of the knot? I'm afraid I have no idea about this. Do you know any reference where this is explained in detail? | |
| May 5, 2016 at 17:36 | comment | added | Sam Nead | How does the Seifert surface (with its boundary on the knot) meet $\partial X$? | |
| May 4, 2016 at 21:14 | comment | added | D1811994 | First of all thanks for your answer and your time Sam Nead. Second, the first surface that comes to my mind is the punctured torus, which is in fact homeomorphic to the Seifert surface for this knot. Is my intuition working fine? And I am afraid I don't fully understand your second paragraph. Why It may be helpful show that $[J]+[C]$ is homologous to a curve on $\partialX$? I'm sorry for this questions, I suppose that this should be obvious but I have never studied 3-manifolds nor Knot Theory so I have never had exposition to this techniques. | |
| May 4, 2016 at 20:13 | history | answered | Sam Nead | CC BY-SA 3.0 |