Skip to main content
Article thumbnail
Location of Repository

Destabilizing amalgamated Heegaard splittings

By Jennifer Schultens and Richard Weidmann

Abstract

We construct a sequence of pairs of 3-manifolds (M n 1, M n 2) each with incompressible torus boundary and with the following two properties: along their 1) For M n the result of a carefully chosen gluing of M n 1 and M n 2 boundary tori, the genera (g n 1, gn 2) of (M n 1, M n 2) and the genus gn of M n satisfy the inequality g n g n 1 + gn 2 < 1 2 2) The result of amalgamating certain unstabilized Heegaard splittings of M n 1 and M n 2 to form a Heegaard splitting of M produces a stabilized Heegaard splitting that can be destabilized successively n times

Year: 2005
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.3162
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.ucdavis.edu/~j... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.