Bounds for fixed points on surfaces. (English) Zbl 0903.55003
The notion of mutant and the Bestvina-Handel theory for graph maps is introduced, as well as the index bounds for graph maps and the index bounds on a surface. The index bounds are used to establish an equality for asymptotic invariants.
Reviewer: Nicoleta Negoescu (Iaşi)
MSC:
55M20 | Fixed points and coincidences in algebraic topology |
57M15 | Relations of low-dimensional topology with graph theory |
20F65 | Geometric group theory |
57N05 | Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010) |
58C30 | Fixed-point theorems on manifolds |