Madsen-Weiss for geometrically minded topologists
Geometric Topology
2014-11-11 v2 Algebraic Topology
Abstract
We give an alternative proof of Madsen-Weiss' generalized Mumford conjecture. Our proof is based on ideas similar to Madsen-Weiss' original proof, but it is more geometrical and less homotopy theoretical in nature. At the heart of the argument is a geometric version of Harer stability, which we formulate as a theorem about folded maps.
Cite
@article{arxiv.0907.4226,
title = {Madsen-Weiss for geometrically minded topologists},
author = {Yakov Eliashberg and Soren Galatius and Nikolai Mishachev},
journal= {arXiv preprint arXiv:0907.4226},
year = {2014}
}
Comments
67 pages, 15 figures