Abstract :
[en] We investigate a type of distance between triangulations on finite-type surfaces where one moves between triangulations by performing simultaneous flips. We consider triangulations up to homeomorphism, and our main results are upper bounds on the distance between triangulations that only depend on the topology of the surface.
Commentary :
The second author is grateful to the Mathematics Department of Indiana University for its hospitality during a particularly enjoyable and fruitful research visit when parts of this paper were written. Both authors acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 "RNMS: GEometric structures And Representation varieties" (the GEAR Network).
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