## Increasing trees and Kontsevich cycles.(English)Zbl 1069.57008

Following on from the first author’s paper [Topology 43, 1469–1510 (2004; Zbl 1069.57007)], the authors give a recursive formula for all the coefficients in the polynomial expressing the Kontsevich cycles in graph cohomology in terms of the Miller-Morita-Mumford classes in the cohomology of mapping class groups.

### MSC:

 57M99 General low-dimensional topology 55R40 Homology of classifying spaces and characteristic classes in algebraic topology 05C05 Trees 57N05 Topology of the Euclidean $$2$$-space, $$2$$-manifolds (MSC2010)

Zbl 1069.57007
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### References:

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