October 15, 2019
3:00PM - 4:00PM
Cockins Hall 240
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2019-10-15 15:00:00
2019-10-15 16:00:00
Topology Seminar - Chris Leininger
Title: Weil-Petersson Translation Length
Speaker: Chris Leininger - UIUC
Abstract: In this talk, I will discuss joint work with Minsky, Souto, and Taylor in which we prove that any mapping torus of a pseduo-Anosov mapping class with bounded normalized Weil-Petersson (WP) translation length contains a finite set of "vertical and horizontal closed curves", and drilling out this set of curves results in one of a finite number of cusped hyperbolic 3-manifolds (depending only on the normalized WP length bound). This echoes an earlier result, joint with Farb and Margalit, for the Teichmuller metric. We also prove new estimates for the WP translation length of compositions of pseudo-Anosov mapping classes and arbitrary powers of a Dehn twist.
Seminar URL
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-10-15 15:00:00
2019-10-15 16:00:00
Topology Seminar - Chris Leininger
Title: Weil-Petersson Translation Length
Speaker: Chris Leininger - UIUC
Abstract: In this talk, I will discuss joint work with Minsky, Souto, and Taylor in which we prove that any mapping torus of a pseduo-Anosov mapping class with bounded normalized Weil-Petersson (WP) translation length contains a finite set of "vertical and horizontal closed curves", and drilling out this set of curves results in one of a finite number of cusped hyperbolic 3-manifolds (depending only on the normalized WP length bound). This echoes an earlier result, joint with Farb and Margalit, for the Teichmuller metric. We also prove new estimates for the WP translation length of compositions of pseudo-Anosov mapping classes and arbitrary powers of a Dehn twist.
Seminar URL
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Weil-Petersson Translation Length
Speaker: Chris Leininger - UIUC
Abstract: In this talk, I will discuss joint work with Minsky, Souto, and Taylor in which we prove that any mapping torus of a pseduo-Anosov mapping class with bounded normalized Weil-Petersson (WP) translation length contains a finite set of "vertical and horizontal closed curves", and drilling out this set of curves results in one of a finite number of cusped hyperbolic 3-manifolds (depending only on the normalized WP length bound). This echoes an earlier result, joint with Farb and Margalit, for the Teichmuller metric. We also prove new estimates for the WP translation length of compositions of pseudo-Anosov mapping classes and arbitrary powers of a Dehn twist.