Line Patterns in Free Groups
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Mon, 30/01/2012 15:45 |
Chris Cashen |
Topology Seminar  |
L3 |
| I will discuss quasi-isometries of the free group that preserve an equivariant pattern of lines. There is a type of boundary at infinity whose topology determines how flexible such a line pattern is. For sufficiently complicated patterns I use this boundary to define a new metric on the free group with the property that the only pattern preserving quasi-isometries are actually isometries. | |||