[图书][B] Knots

G Burde, H Zieschang - 2002 - degruyter.com
Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

Lattice point asymptotics and volume growth on Teichmüller space

J Athreya, A Bufetov, A Eskin, M Mirzakhani - 2012 - projecteuclid.org
We apply some of the ideas of Margulis's Ph. D. dissertation to Teichmüller space. Let X be a
point in Teichmüller space, and let BR. X/be the ball of radius R centered at X (with …

Braid groups and Hodge theory

CT McMullen - Mathematische Annalen, 2013 - Springer
This paper gives an account of the unitary representations of the braid group that arise via
the Hodge theory of cyclic branched coverings of P^ 1, highlighting their connections with …

[图书][B] Subgroup decomposition in Out (Fn)

M Handel, L Mosher - 2020 - books.google.com
In this work the authors develop a decomposition theory for subgroups of Out (Fn) which
generalizes the decomposition theory for individual elements of Out (Fn) found in the work of …

Counting closed geodesics in moduli space

A Eskin, M Mirzakhani - arXiv preprint arXiv:0811.2362, 2008 - arxiv.org
arXiv:0811.2362v3 [math.DS] 19 Mar 2011 Page 1 arXiv:0811.2362v3 [math.DS] 19 Mar 2011
Counting closed geodesics in Moduli space Alex Eskin∗and Maryam Mirzakhani† October …

Cluster automorphisms

I Assem, R Schiffler… - Proceedings of the …, 2012 - Wiley Online Library
In this article, we introduce the notion of cluster automorphism of a given cluster algebra as a
ℤ‐automorphism of the cluster algebra that sends a cluster to another and commutes with …

Curvature and rank of Teichmüller space

J Brock, B Farb - American journal of mathematics, 2006 - muse.jhu.edu
Let S be a surface with genus g and n boundary components, and let d (S)= 3g-3+ n denote
the number of curves in any pants decomposition of S. We employ metric properties of the …

Quantitative recurrence and large deviations for Teichmuller geodesic flow

JS Athreya - Geometriae Dedicata, 2006 - Springer
Quantitative recurrence and large deviations for Teichmuller geodesic flow Page 1 Geom
Dedicata (2006) 119:121–140 DOI 10.1007/s10711-006-9058-z ORIGINAL ARTICLE …

Mapping class group dynamics on surface group representations

WM Goldman - arXiv preprint math/0509114, 2005 - arxiv.org
Deformation spaces Hom ($\pi $, G)/G of representations of the fundamental group $\pi $ of
a surface $\Sigma $ in a Lie group $ G $ admit natural actions of the mapping class group …

[图书][B] Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ (1, 1)

M Bainbridge, J Smillie, B Weiss - 2022 - ams.org
We study dynamics of the horocycle flow on strata of translation surfaces, introduce new
invariants for ergodic measures, and analyze the interaction of the horocycle flow and real …