Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus

被引：32

作者：

Chen, Dawei ^{[1
]}

Moeller, Martin

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

来源：

GEOMETRY & TOPOLOGY | 2012年 / 16卷 / 04期

基金：

美国国家科学基金会;

关键词：

MODULI SPACES; TEICHMULLER CURVES; KODAIRA DIMENSION; STABLE CURVES; SURFACES; FAMILIES; COVERINGS; DIVISORS; POINTS;

D O I：

10.2140/gt.2012.16.2427

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for many strata of Abelian differentials in low genus the sum of Lyapunov exponents for the Teichmuller geodesic flow is the same for all Teichmuller curves in that stratum, hence equal to the sum of Lyapunov exponents for the whole stratum. This behavior is due to the disjointness property of Teichmuller curves with various geometrically defined divisors on moduli spaces of curves.

引用

页码：2427 / 2479

页数：53

共 40 条

[1]

[Anonymous], GRADUATE TEXTS MATH

[2] THE PICARD-GROUPS OF THE MODULI SPACES OF CURVES [J].