The moduli space M‾ 0, n of n pointed stable curves of genus 0 admits an action of the
symmetric group S n by permuting the marked points. We provide a closed formula for the …

Let φ be a post-critically finite branched covering of a two-sphere. By work of Koch, the
Thurston pullback map induced by φ on Teichmüller space descends to a multivalued self …

For each n ≥ 5 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
\usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} …

Let $\phi: S^ 2\to S^ 2$ be an orientation-preserving branched covering whose post-critical
set has finite cardinality $ n $. If $\phi $ has a fully ramified periodic point $ p_ {\infty} $ and …

The moduli space $\overline {\mathcal {M}} _ {0, n} $ of $ n $ pointed stable curves of genus
$0 $ admits an action of the symmetric group $ S_n $ by permuting the marked points. We …

The moduli space $\overline {\mathcal {M}} _ {0, n} $ carries a codimension-$ d $ Chow
class $\kappa _ {d} $. We consider the subspace $\mathcal {K}^{d} _ {n} $ of $ A^ d …

The moduli space $\overline {\mathcal {M}} _ {0, n} $ carries a codimension-$ d $ cycle class
$\kappa_ {d} $. We consider the subspace $\mathcal {K}^{d} _ {n} $ of $ A^ d (\overline …