Timeline for Geometric intersection number for product of elements of the fundamental group
Current License: CC BY-SA 3.0
16 events
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| S Jan 7, 2017 at 11:03 | history | bounty ended | CommunityBot | ||
| S Jan 7, 2017 at 11:03 | history | notice removed | CommunityBot | ||
| Jan 7, 2017 at 3:54 | history | edited | Cusp |
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| Dec 31, 2016 at 1:42 | history | edited | Cusp | CC BY-SA 3.0 |
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| Dec 31, 2016 at 1:33 | comment | added | Cusp | @IanAgol Thanks for the remark. But I am mostly interested in orientable surfaces. | |
| Dec 30, 2016 at 22:31 | comment | added | Ian Agol | This is false for a non-orientable surface, but might be true for orientable surfaces. The point is that the fundamental group of a Klein bottle is given by $\langle x, y | x^2y^2=1\rangle$. This relator is conjugate to $(x*y)*y*x$. So if one takes a punctured Klein bottle, and take $x,y$ to be the appropriate closed curves, then $x*y*y*x$ will be homotopic to the boundary. Then any other closed curve (representing $z$) intersecting $x*y$ will not intersect $x*y*y*x$, the peripheral curve. | |
| S Dec 30, 2016 at 9:49 | history | bounty started | Cusp | ||
| S Dec 30, 2016 at 9:49 | history | notice added | Cusp | Draw attention | |
| Dec 28, 2016 at 15:24 | history | edited | Cusp | CC BY-SA 3.0 |
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| Dec 28, 2016 at 15:09 | history | edited | YCor |
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| Dec 28, 2016 at 14:21 | comment | added | Cusp | @HJRW Yes. It is the multiplication of the fundamental group. | |
| Dec 28, 2016 at 14:17 | comment | added | HJRW | Does $*$ denote concatenation? | |
| Dec 28, 2016 at 14:14 | history | edited | Cusp | CC BY-SA 3.0 |
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| Dec 28, 2016 at 14:06 | history | undeleted | Cusp | ||
| Dec 28, 2016 at 9:31 | history | deleted | Cusp | via Vote | |
| Dec 28, 2016 at 7:41 | history | asked | Cusp | CC BY-SA 3.0 |