Timeline for Is there a torsion element in the homology cylinder group?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 16, 2012 at 4:58 | vote | accept | hopflink | ||
| May 12, 2012 at 12:15 | comment | added | Jim Conant | @HJ: Sure. The map from string links to homology cobordisms extends to arbitrary numbers of components. Also, a string link is a homology cobordism of a planar surface so you get lots of direct examples that way. | |
| May 12, 2012 at 7:18 | comment | added | hopflink | @Conant: Would there be more example for more boundary componant? | |
| May 11, 2012 at 14:42 | comment | added | Jim Conant | @HJ: this construction is for surfaces with one boundary component. I am sure there are other examples too. This paper arxiv.org/abs/0909.5580 shows there are infinitely many $\mathbb Z_2$ invariants, which should be realizable by actual homology cylinders, though I don't know off the top of my head. | |
| May 11, 2012 at 14:16 | comment | added | hopflink | Thank you! You helps me a lot. Is there any other example, for surfaces with boundary ? | |
| May 11, 2012 at 14:04 | history | answered | Jim Conant | CC BY-SA 3.0 |