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- W2014564254 abstract "An expanding train-track map on a graph of rank n is P -small if its dilatation is bounded above by P n . We prove that for every P there is a finite list of mapping tori X 1 , … , X A , with A depending only on P and not n , so that the mapping torus associated with every P -small expanding train-track map can be obtained by surgery on some X i . We also show that, given an integer P > 0 , there is a bound M depending only on P and not n , so that the fundamental group of the mapping torus of any P -small expanding train-track map has a presentation with less than M generators and M relations. We also provide some bounds for the smallest possible dilatation." @default.
- W2014564254 created "2016-06-24" @default.
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- W2014564254 date "2015-02-01" @default.
- W2014564254 modified "2023-09-29" @default.
- W2014564254 title "Mapping tori of small dilatation expanding train-track maps" @default.
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- W2014564254 doi "https://doi.org/10.1016/j.topol.2014.11.003" @default.
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