Growth rate of Dehn twist lattice points in Teichmuller space

被引：0

作者：

Han, Jiawei ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37235 USA

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2023年

关键词：

Mapping class group; Dehn twist; Teichmuller space; lattice points;

D O I：

10.1142/S179352532350053X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Athreya et al. [Lattice point asymptotics and volume growth on Teichmuller space, Duke Math. J. 161 (2012) 1055-1111] have shown the number of mapping class group lattice points intersecting a closed ball of radius R in Teichmuller space is asymptotic to e(hR), where h is the dimension of the Teichmuller space. In contrast we show the number of Dehn twist lattice points intersecting a closed ball of radius R is coarsely asymptotic to e(h/2 R). Moreover, we show the number multi-twist lattice points intersecting a closed ball of radius R grows coarsely at least at the rate of R & sdot;e(h/2 R).

引用

页数：35

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