Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3431
Articles: 2'256'574
Articles rated: 2602

25 September 2022
 
  » arxiv » math.GT/9912049

 Article overview


Immersed surfaces and Dehn surgery
Ying-Qing Wu ;
Date 6 Dec 1999
Subject Geometric Topology MSC-class: 57N10 | math.GT
AbstractLet $F$ be a proper essential immersed surface in a hyperbolic 3-manifold $M$ with boundary disjoint from a torus boundary component $T$ of $M$. Let $alpha$ be the set of coannular slopes of $F$ on $T$. The main theorem of the paper shows that there is a constant $K$ and a finite set of slopes $Lambda$ on $T$, such that if $eta$ is a slope on $T$ with $Delta(eta, alpha_i) > K$ for all $alpha_i$ in $alpha$, and $eta$ is not in $Lambda$, then $F$ remains incompressible after Dehn filling on $T$ along the slope $eta$. In certain sense, this means that $F$ survives most Dehn fillings. The proof uses minimal surface theory, integral of differential forms, and properties of geometrically finite groups. As a consequence of our method, it will also be shown that Freedman tubings of immersed geometrically finite surfaces are essential if the tubes are long enough.
Source arXiv, math.GT/9912049
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser CCBot/2.0 (https://commoncrawl.org/faq/)






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2022 - Scimetrica